La propriété $(T)$ de Kazhdan pour les groupes localement compacts (avec un appendice de Marc Burger)

La propriété

(T)

de Kazhdan pour les groupes localement compacts (avec un appendice de Marc Burger)

De La Harpe, Pierre ; Valette, Alain

Astérisque, no. 175 (1989) , 160 p.

Zbl | 32 citations dans Numdam

@book{AST_1989__175__1_0,
     author = {De La Harpe, Pierre and Valette, Alain},
     title = {La propri\'et\'e $(T)$ de {Kazhdan} pour les groupes localement compacts (avec un appendice de {Marc} {Burger)}},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {175},
     year = {1989},
     zbl = {0759.22001},
     language = {fr},
     url = {https://numdam.org/item/AST_1989__175__1_0/}
}

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TI  - La propriété $(T)$ de Kazhdan pour les groupes localement compacts (avec un appendice de Marc Burger)
T3  - Astérisque
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%0 Book
%A De La Harpe, Pierre
%A Valette, Alain
%T La propriété $(T)$ de Kazhdan pour les groupes localement compacts (avec un appendice de Marc Burger)
%S Astérisque
%D 1989
%N 175
%I Société mathématique de France
%U https://numdam.org/item/AST_1989__175__1_0/
%G fr
%F AST_1989__175__1_0

De La Harpe, Pierre; Valette, Alain. La propriété $(T)$ de Kazhdan pour les groupes localement compacts (avec un appendice de Marc Burger). Astérisque, no. 175 (1989), 160 p. http://numdam.org/item/AST_1989__175__1_0/

Bibliographie
Cité par

[Ady] S. I. Adyan, Random walks on free periodic groups, Math. U.S.S.R. Izvestiya 21-3 (1983), 425-434. | Zbl | DOI

[AW] C. A. Akemann et M. E. Walter, Unbounded negative definite functions, Canad. J. Math. 33 (1981), 862-871. | Zbl | DOI

[AM] N. Alon et V. D. Milman, $λ_{1}$ , Isoperimetric inequalities for graphs, and superconcentrators, Journ. Combin. Theory, Ser. B, 38 (1985), 73-88. | Zbl | DOI

[AM2] N. Alon et V. D. Milman, Eigenvalues, expanders and superconcentrators, Proc. 25th. Ann. Sympos. on Foundations of Computer Science (Florida, 1984), 320-322. | Zbl

[Alp] R. Alperin, Locally compact groups acting on trees and property $T$ , Mh. Math. 93 (1982), 261-265. | Zbl | EuDML | DOI

[Ana] C. Anantharaman-Delaroche, On Connes' property $T$ for von Neumann algebras, Math. Japon., 32 (1987), 337-355. | Zbl

[AS] M. Atiyah et W. Schmid, A geometric construction of the discrete series for semi-simple Lie groups, Invent. Math. 42 (1977), 1-62. | Zbl | EuDML | DOI

[BGS] W. Ballmann, M. Gromov et V. Schroeder, Manifolds of nonpositive curvature, Birkhäuser, 1985. | Zbl | DOI

[Ban] S. Banach, Sur le problème de la mesure, Fund. Math. 4 (1923), 7-33. | JFM | EuDML | DOI

S. Banach, Sur le problème de la mesure, Oeuvres I, pp. 66-89 et 318-322.

[Bak] W. Banaszczyk, On the existence of commutative Banach-Lie groups which do not admit continuous unitary representations, Coll. Math. 52 (1987), 113-118. | Zbl | EuDML

[BR] A. O. Barut et R. Raczka, The theory of group representations and applications, PWN-Polish scientific Publishers, Warszawa, 1980. | Zbl

[Ba] H. Bass, Groups of integral representation type, Pacific J. Math. 86 (1980), 15-51. | Zbl | DOI

[Bas] L. A. Bassalygo, Asymptotically optimal switching circuits, Problems Inform. Transmission 17 (3) (1981), 206-211. | Zbl

[BH] E. Bédos et P. De La Harpe, Moyennabilité intérieure des groupes : définitions et exemples, l'Enseignement Math. 32 (1986), 139-157. | Zbl

[BK] M. E. B. Bekka et E. Kaniuth, Irreducible representations of locally compact groups that cannot be Hausdorff separated from the identity representation, J. reine angew. Math. 385 (1988), 203-220. | Zbl | EuDML

[BCR] C. Berg, J. P. R. Christensen et P. Ressel, Harmonic analysis on semi-groups, Springer, 1984. | Zbl

[Bie] F. Bien, Constructions of telephone networks by group representations, Notices Amer. Math. Soc. 36-1 (1989), 5-22. | Zbl

[Bio] J. Bion-Nadal, Von Neumann subalgebras of a type $I I_{1}$ factor : correspondances and property $(T)$ , à paraître au J. Operator Theory. | Zbl

[Bor] A. Borel, Compact Clifford-Klein forms of symmetric spaces, Topology 2 (1963), 111-122. | Zbl | DOI

[BW] A. Borel et N. Wallach, Continuous cohomology, discrete subgroups and representations of reductive groups, Annals of Math. Studies, Princeton University Press, 1980. | Zbl

[BTG] N. Bourbaki, Topologie générale, chap. 1 à 4, Hermann, 1971 | Zbl

N. Bourbaki, Topologie générale, chap. 5 à 10, Hermann, 1974. | Zbl

[BAC] N. Bourbaki, Algèbre commutative, chap. 5 à 7, Masson, 1985. | Zbl

[BI] N. Bourbaki, Intégration, chap. 7 à 8, Hermann, 1963. | Zbl

[BLi] N. Bourbaki, Groupes et algèbres de Lie, chap. 2 et 3, Hermann, 1972. | Zbl

[BL'] N. Bourbaki, Groupes et algèbres de Lie, chap. 4, 5, 6, Hermann, 1968. | Zbl

[Boz] M. Bozejko, Positive definite kernels, length functions on groups and noncommutative von Neumann inequality, Prépublication, Université de Wroclaw, 1987. | Zbl

[BJS] M. Bozejko, T. Januszkiewicz et R. T. Spatzier, Infinite Coxeter groups do not have Kazhdan's property, J. Operator Theory 19 (1988), 63-67. | Zbl

[BT] F. Bruhat et J. Tits, Groupes réductifs sur un corps local (données radicielles valuées), Publ. Math. IHES 41 (1972), 5-252. | DOI | EuDML | Zbl | Numdam

[BMW] L. J. Bunce et J. D. Maitland Wright, On Sullivan's invariant measure problem, Proc. Amer. Math. Soc. 103 (1988), 870-874. | Zbl

[Bu1] M. Burger, Spectre du laplacien, graphes et topologie de Fell, Comment. Math. Helvetici 63 (1988), 226-252. | Zbl | EuDML | DOI

[Bu2] M. Burger, Kazhdan constants for $S L (3, ℤ)$ , Prépublication, I.H.E.S., 1989.

[CG] S. S. Chen et L. Greenberg, Hyperbolic spaces. In « Contributions to Analysis » édité par L.V. Ahlfors et al. (Academic Press, 1974), 49-87. | Zbl

[Cha] M. Choda, Normality of invariant states under strongly ergodic actions, Math. Japon. 27 (1982), 293-300. | MR | Zbl

[Cho] C. Chou, Ergodic group actions with nonunique invariant means, Proc. Amer. Math. Soc. 100 (1987), 647-650. | MR | Zbl | DOI

[Clo] L. Clozel, Progrès récents vers la classification du dual unitaire des groupes réductifs réels, Sém. Bourbaki, 39ème année, 1986-87, N° 681, juin 1987. | MR | Zbl | EuDML | Numdam

[CV] Y. Colin De Verdière, Distribution de points sur une sphère (d'après Lubotzky, Phillips et Sarnak), Sém. Bourbaki, 41ème année, 1988-89, N° 703, novembre 1988. | MR | Zbl | EuDML | Numdam

[Co1] A. Connes, Almost periodic states and factors of type $I I I_{1}$ , Journ. Funct. Anal. 16 (1974), 415-445. | MR | Zbl | DOI

[Co2] A. Connes, A factor not anti-isomorphic to itself, Ann. of Math. 101 (1975), 536-554. | MR | Zbl | DOI

[Co3] A. Connes, A factor of type $I I_{1}$ with countable fundamental group, J. Operator Theory 4 (1980), 151-153. | MR | Zbl

[Co4] A. Connes, Classification des facteurs, Proc. Symp. Pure Math. 38-2 (Amer. Math. Soc., 1982), 43-109. | MR | Zbl | DOI

[CJ] A. Connes et V. Jones, Property $T$ for von Neumann algebras, Bull. London Math. Soc. 17 (1985), 57-62. | MR | Zbl | DOI

[CW] A. Connes et B. Weiss, Property $T$ and asymptotically invariant sequences, Israel J. Math. 37 (1980), 209-210. | MR | Zbl | DOI

[Cg1] M. Cowling, Sur les coefficients des représentations des groupes de Lie simples, in « Analyse harmonique sur les groupes de Lie II », Springer Lect. Notes in Math. 739 (1979), 132-178. | MR | Zbl | DOI

[Cg2] M. Cowling, Unitary and uniformly bounded representations of some simple Lie groups, in « Harmonic Analysis and Group Representations, C.I.M.E. 1980 » (Liguori Napoli, 1982), 49-128. | MR

[CH] M. Cowling et U. Haagerup, Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one, prépublication, Univ. of New South Wales, 1987. | Zbl

[DK] C. Delaroche et A. Kirillov, Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermés, Sém. Bourbaki, 20ème année, 1967-68, n° 343, juin 1968. | MR | Zbl | EuDML | Numdam

[Del] P. Delorme, $1$ -cohomologie des représentations unitaires des groupes de Lie semi-simples et résolubles. Produits tensoriels continus et représentations, Bull. Soc. Math. France 105 (1977), 281-336. | DOI | MR | Zbl | EuDML | Numdam

[Di1] J. Dixmier, Les moyennes invariantes dans les semi-groupes et leurs applications, Acta Sci. Math. (Szeged), 12 (1950), 213-227. | Zbl | MR

[Dix] J. Dixmier, Les $C^{*}$ -algèbres et leurs représentations, 2ème édition, Gauthier-Villars, 1969. | MR | Zbl

[Dri] V. G. Drinfel'D, Finitely additive measures on $S^{2}$ and $S^{3}$ , invariant with respect to rotations, Funct. An. and its Appl. 18 (1984), 245-246. | Zbl | MR | DOI

[Eck] B. Eckmann, Lois de Kirchhoff et fonctions discrètes harmoniques, Bull. Soc. Vaud. Sc. nat. 63, 264 (1945), 67-78.

[Eps] D. B. A. Epstein, Complex hyperbolic geometry, in « Analytical and geometric aspects of hyperbolic space », édité par D. B. A. Epstein (Cambridge Univ. Press, 1987), 93-111. | MR | Zbl

[FH] J. Faraut et K. Harzallah, Distances hilbertiennes invariantes sur un espace homogène, Ann. Inst. Fourier 24-3 (1974), 171-217. | DOI | MR | Zbl | EuDML | Numdam

[Fe1] J. M. G. Fell, The dual spaces of $C^{*}$ -algebras, Trans. Amer. Math. Soc. 94 (1960), 365-403. | MR | Zbl

[Fe2] J. M. G. Fell, Weak containment and induced representations of groups, Canad. J. Math. 14 (1962), 237-268. | MR | Zbl | DOI

[FJK] M. Flensted-Jensen et T. H. Koornwinder, Positive-definite spherical functions on a non-compact, rank one symmetric space, in « Analyse Harmonique sur les groupes de Lie II », Springer Lect. Notes in Math. 739 (1979), 249-282. | MR | Zbl | DOI

[GG] O. Gabber et Z. Galil, Explicit construction of linear-sized superconcentrators, Journ. Comp. and Syst. Sci. 22 (1981), 407-420. | MR | Zbl | DOI

[Gar] H. Garland, $p$ -adic curvature and the cohomology of discrete subgroups of $p$ -adic groups, Ann. Math. 97 (1973), 375-423. Voir aussi les actes du congrès international de Vancouver (1974). | MR | Zbl | DOI

[GS] E. Ghys et V. Sergiescu, Sur un groupe remarquable de difféomorphismes du cercle, Comment. Math. Helvetici 62 (1987), 185-239. | MR | Zbl | EuDML | DOI

[GH] T. Giordano et P. De La Harpe, Groupes de tresses, propriété $(T)$ et moyennabilité intérieure, manuscrit. | Zbl

[Gro] M. Gromov, Hyperbolic groups, in « Essays in group theory », édité par S.M. Gersten (Springer, 1987), 75-263. | MR | Zbl | DOI

[GrV] M. Gromov, Infinite groups as geometric objects, Proc. Intern. Congr. Math. (Varsovie, 1983), 385-392. | MR | Zbl

[Gu1] A. Guichardet, Symmetric Hilbert spaces and related topics, Springer Lecture Notes in Math. 261 (1972). | MR | Zbl

[Gu2] A. Guichardet, Cohomologie des groupes topologiques et des algèbres de Lie, Cedic-F. Nathan, 1980. | MR | Zbl

[Gu3] A. Guichardet, Analyse harmonique commutative, Monographie univ. de math. n° 26, Dunod, 1968. | MR | Zbl

[Gu4] A. Guichardet, Étude de la $1$ -cohomologie et de la topologie du dual pour les groupes de Lie à radical abélien, Math. Ann. 228 (1977), 215-232. | MR | Zbl | EuDML | DOI

[Ha] U. Haagerup, An example of a non-nuclear $C^{*}$ -algebra which has the metric approximation property, Invent. Math. 50 (1979), 279-293. | MR | Zbl | EuDML | DOI

[Hal] P. R. Halmos, Measure Theory, Van Nostrand, 1950. | MR | Zbl

[HC] Harish-Chandra, Representations of semi-simple Lie groups I, Trans. Amer. Math. Soc. 75 (1953), 185-243 | Zbl | DOI

Harish-Chandra, Representations of semi-simple Lie groups II, Trans. Amer. Math. Soc. 76 (1954), 26-65 et 234-253. | Zbl | MR | DOI

Harish-Chandra, Representations of semi-simple Lie groups III, Oeuvres I, 390-509.

[Har] P. De La Harpe, Moyennabilité du groupe unitaire et propriété $P$ de Schwartz des algèbres de von Neumann, Springer Lect. Notes in Math. 725 (1979), 220-227. | MR | Zbl

[HaS] P. De La Harpe et G. Skandalis, Un résultat de Tarski sur les actions moyennables de groupes et les partitions paradoxales, L'Enseignement Math. 32 (1986), 121-138. | MR | Zbl

[Hau] F. Hausdorff, Grundzüge der Mengenlehre, Veit, 1914. | JFM

[He1] S. Helgason, Differential geometry and symmetric spaces, Academic Press, 1962 | MR | Zbl

S. Helgason, Differential geometry, Lie groups and symmetric spaces, Academic Press, 1978. | MR | Zbl

[He2] S. Helgason, Groups and geometric analysis (Integral geometry, invariant differential operators, and spherical functions), Academic Press, 1984. | MR | Zbl

[HeS] E. Hewitt et K. Stromberg, Real and abstract analysis, Springer, 1965. | MR | Zbl

[HiS] J. P. Hilton et U. Stammbach, A course in homological algebra, Springer, 1971. | MR | Zbl

[Hoc] G. Hochschild, The structure of Lie groups, Holden-Day, 1965. | MR | Zbl

[HM] R. E. Howe et C. C. Moore, Asymptotic properties of unitary representations, J. Funct. Anal. 32 (1979), 72-96. | MR | Zbl | DOI

[Hum] J. E. Humphreys, Introduction to Lie algebras and representation theory, Springer, 1972. | MR | Zbl | DOI

[Iha] Y. Ihara, Discrete subgroups of $PL (2, k_{𝔭})$ , Proc. Symp. Pure Math. IX, Boulder (Amer. Math. Soc., 1966), 272-278. | MR | Zbl

Y. Ihara. Voir aussi : On discrete subgroups of the two by two projective linear group over $p$ -adic fields, J. Math. Soc. Japan 18 (1966), 219-235. | MR | Zbl | DOI

[JV] P. Julg et A. Valette, $K$ -theoretic amenability for $S L_{2} (ℚ_{p})$ , and the action on the associated tree, J. Funct. Anal. 58 (1984), 194-215. | MR | Zbl | DOI

[JR] A. Del Junco et J. Rosenblatt, Counterexamples in ergodic theory and number theory, Math. Ann. 245 (1979), 185-197. | MR | Zbl | DOI

[Kaz] D. Kazhdan, Connection of the dual space of a group with the structure of its closed subgroups, Funct. Anal. and its Appl. 1 (1967), 63-65. | Zbl | MR | DOI

[Kn] A. W. Knapp, Representation theory of semisimple groups (an overview based on examples), Princeton Univ. Press, 1986. | MR | Zbl

[Ko1] B. Kostant, On the existence and irreducibility of certain series of representations, Bull. Amer. Math. Soc. 75 (1969), 627-642. | MR | Zbl | DOI

[Ko2] B. Kostant, On the existence and irreducibility of certain series of representations, in « Lie groups and their representations », édité par I.M. Gelfand, Kaido, 1975, 231-329. | MR | Zbl

[KS] R. A. Kunze et E. M. Stein, Uniformly bounded representations and harmonic analysis of the $2 \times 2$ real unimodular group, Amer. J. Math. 82 (1960), 1-62. | MR | Zbl | DOI

[Leb] H. Lebesgue, Leçons sur l'intégration et la recherche des fonctions primitives, Gauthier-Villars, 1904. | JFM | Zbl

[LPS1] A. Lubotzky, R. Phillips et P. Sarnak, Hecke operators and distributing points on the sphere I, Comm. Pure Appl. Math. 39 (1987), 149-186. | MR | Zbl | DOI

[LPS2] A. Lubotzky, R. Phillips et P. Sarnak, Ramanujan conjecture and explicit constructions of expanders and super-concentrators, prépublication, 1986.

[Ma1] G. A. Margulis, Explicit constructions of concentrators, Problems Inform. Transmission 9-4 (1973), 325-332. | Zbl

[Ma2] G. A. Margulis, Some remarks on invariant means, Mh. Math. 90 (1980), 233-235. | MR | Zbl | EuDML | DOI

[Ma3] G. A. Margulis, On the decomposition of discrete subgroups into amalgams, Selecta Math. Sov. 1 (1981), 197-213. | MR | Zbl

[Ma4] G. A. Margulis, Finitely-additive invariant measures on Euclidean spaces, Ergod. Th. & Dynam. Sys. 2 (1982), 383-396. | MR | Zbl | DOI

[McD] D. Mcduff, Uncountably many $I I_{1}$ -factors, Ann. of Math. 90 (1969), 372-377. | MR | Zbl | DOI

[Moo] C. C. Moore, Ergodic theory and von Neumann algebras, Proc. Symp. Pure Math. 38-2 (Amer. Math. Soc., 1982), 179-226. | MR | Zbl | DOI

[MS] J. W. Morgan et P. B. Shalen, Valuations, trees and degenerations of hyperbolic structures, I, Ann. of Math. 120 (1984), 401-476. | Zbl | MR | DOI

[Mos] G. D. Mostow, Strong rigidity of locally symmetric spaces, Princeton Univ. Press, 1973. | MR | Zbl

[Myc] J. Mycielski, Finitely additive invariant measures I, Coll. math. 42 (1979), 309-318. | MR | EuDML

[New] M. Newman, Integral matrices, Academic Press, 1972. | MR | Zbl

[Pap] Pappus D'Alexandrie, Collection Mathématique, Trad. par P. Ver Eecke, Desclée-de Brouwer (Bruges, 1933). | JFM

[Par] K. R. Parthasarathy, Probability measures on metric spaces, Academic Press, 1967. | MR | Zbl | DOI

[Ped] G. K. Pedersen, $C^{*}$ -algebras and their automorphism groups, Academic Press, 1979. | MR | Zbl

[Pin] M. Pinsker, On the complexity of a concentrator, 7th Intern. Tele-traffic Conf. (Stockholm, 1973), 318/1-318/4.

[Pop] S. Popa, Correspondances, version préliminaire, 1986.

[Rag] M. S. Raghunathan, Discrete subgroups of Lie groups, Springer, 1979. | MR | Zbl

[Ril] R. Riley, An elliptical path from parabolic representations to hyperbolic structures, Lecture Notes in Math. 722 (Springer 1979), 99-133. | MR | Zbl

[Rob] A. Robert, Des adèles : pourquoi ?, L'Enseignement Math. 20 (1974), 133-145. | MR | Zbl

[Ron] A. G. Robertson, Strong non-amenability of $I I_{1}$ -factors with property $T$ , Bull. London Math. Soc. 20 (1988), 51-53. | MR | Zbl | DOI

[Ros] J. Rosenblatt, Uniqueness of invariant means for measure-preserving transformations, Trans. Amer. Math. Soc. 265 (1981), 623-636. | MR | Zbl | DOI

[Rou] A. Rouault, Superconcentrateurs, prépublication, Univ. d'Orsay, 1987. | MR | Zbl

[Rud] W. Rudin, Functional analysis, Mc Graw Hill, 1973. | MR | Zbl

[S] G. Schiffmann, Travaux de Kostant sur la série principale, in « Analyse Harmonique sur les groupes de Lie II », Springer Lect. Notes in Math. 739 (1979), 460-510. | MR | Zbl | DOI

[SC] W. Schmid, Boundary value problems for group invariant differential equations, Actes du colloque « Elie Cartan et les mathématiques d'aujourd'hui (Lyon, 1984) », Astérisque, n° hors série, 1985, 311-321. | MR | Zbl | Numdam

[Sc1] K. Schmidt, Asymptotically invariant sequences and an action of $S L (2, ℤ)$ on the $2$ -sphere, Israel J. Math. 37 (1980), 193-208. | MR | Zbl | DOI

[Sc2] K. Schmidt, Amenability, Kazhdan's property $T$ , strong ergodicity and invariant means for ergodic group-actions, Ergod. Th. & Dynam. Sys. 1 (1981), 223-236. | MR | Zbl

[Sch] I. Schur, Bemerkungen zur Theorie der beschränkten Bilinearformen mit unendlich vielen Veränderlichen, J. reine angew. Math. 140 (1911), 1-29. | MR | JFM | EuDML

[Ser] J-P. Serre, Arbres, amalgames, $S L_{2}$ , Astérisque 46 (Soc. Math. France, 1977). | MR | Zbl | Numdam

[Se2] J-P. Serre, Cours d'Arithmétique, Collection Sup, Presses Univ. France, 1970. | Zbl | MR

[Sha] P. B. Shalen, Dendrology of groups: an introduction, in « Essays in group theory », édité par S.M. Gersten (Springer, 1987), 265-319. | Zbl | MR | DOI

[Ska] G. Skandalis, Une notion de nucléarité en $K$ -théorie, $K$ -Theory 1 (1988), 549-573. | MR | Zbl | DOI

[Ste] R. Steinberg, Some consequences of the elementary relations in $S L_{n}$ , Contemporary Math. 45 (1985), 335-350. | MR | Zbl | DOI

[Str] S. Stratila, Modular theory in operator algebras, Abacus Press, 1981. | MR | Zbl

[SZ] S. Stratila et L. Zsido, Lectures on von Neumann algebras, Ed. Academiei & Abacus Press, 1979. | MR | Zbl

[Sul] D. Sullivan, For $n > 3$ there is only one finitely additive rotationally invariant measure on the $n$ -sphere defined on all Lebesgue measurable subsets, Bull. Amer. Math. Soc. (New Series) 4 (1981), 121-123. | MR | Zbl | DOI

[Tad] M. Tadic, Topology of unitary dual of nonarchimedean $G L (n)$ , Duke Math. J. 55 (1987), 385-422. | MR | Zbl | DOI

[Tar] A. Tarski, Algebraische Fassung des Massproblems, Fund. Math. 31 (1938), 47-66. | Zbl | JFM | EuDML | DOI

[Thu] W. Thurston, The geometry and topology of $3$ -manifolds, Notes de cours (Princeton, 1978/79).

[Ti1] J. Tits, Le plan projectif des octaves et les groupes de Lie exceptionnels, Bull. Acad. Roy. de Belgique (Classe des Sciences) 39 (1953), 309-329. | MR | Zbl

[Ti2] J. Tits, Buildings of spherical type and finite $B N$ -pairs, Springer Lect. Notes in Math. 386 (1974). | MR | Zbl

[Ti3] J. Tits, Reductive groups over local fields, Proc. Symp. Pure Math. 33 (Amer. Math. Soc., 1979), 29-69. | MR | Zbl | DOI

[Ti4] J. Tits, Free subgroups in linear groups, J. Algebra 20 (1972), 250-270. | MR | Zbl | DOI

[Va1] A. Valette, Minimal projections, integrable representations and property $(T)$ , Arch. Math. 43 (1984), 397-406. | MR | Zbl | DOI

[Va2] A. Valette, A global approach to spherical functions on rank $1$ symmetric spaces, Nieuw Arch. voor Wisk. (4)5 (1987), 33-52. | MR | Zbl

[Vas] L. N. Vaserstein, Groups having the property $(T)$ , Funct. Anal, and its Appl. 2 (1968), 174. | Zbl | MR

[VK] A. M. Vershik et S. I. Karpuhev, Cohomology of groups in unitary representations, the neighbourhood of the identity, and conditionally positive definite functions, Math. USSR Sbornik 47 (1984), 513-526. | Zbl | DOI

[Voi] D. Voiculescu, Property $T$ and approximation of operators, prépublication, Berkeley 1988. | Zbl

[Wag] S. Wagon, The Banach-Tarski paradox, Cambridge Univ. Press, 1985. | MR | Zbl | DOI

[Wal] N. R. Wallach, Harmonic analysis on homogeneous spaces, Marcel Dekker, 1973. | MR | Zbl

[Wa1] S. P. Wang, On the first cohomology group of discrete groups with property $(T)$ , Proc. Amer. Math. Soc. 42 (1974), 621-624. | MR | Zbl

[Wa2] S. P. Wang, On isolated points in the dual spaces of locally compact groups, Math. Ann. 218 (1975), 19-34. | MR | Zbl | EuDML | DOI

[Wan] X. Wang, On the $C^{*}$ -algebras of foliations in the plane, Springer Lect. Notes in Math. 1257 (1987). | Zbl | MR

[Wat] Y. Watatani, Property $(T)$ of Kazhdan implies property $(F A)$ of Serre, Math. Japon. 27 (1981), 97-103. | MR | Zbl

[Wei] A. Weil, Basic number theory, Springer, 1967. | MR | Zbl

[Wie] N. Wielenberg, The structure of certain subgroups of the Picard group, Math. Proc. Camb. Phil. Soc. 84 (1978), 427-436. | MR | Zbl | DOI

[Zim] R. J. Zimmer, Ergodic theory and semisimple groups, Birkhäuser, 1984. | MR | Zbl

[Zi2] R. J. Zimmer, Kazhdan groups acting on compact manifolds, Invent. Math. 75 (1984), 425-436. | MR | Zbl | EuDML | DOI