Sur la cohomologie continue des groupes localement compacts
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 12 (1979) no. 2, pp. 137-168.
@article{ASENS_1979_4_12_2_137_0,
     author = {Blanc, Philippe},
     title = {Sur la cohomologie continue des groupes localement compacts},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {137--168},
     publisher = {Elsevier},
     volume = {4e s{\'e}rie, 12},
     number = {2},
     year = {1979},
     doi = {10.24033/asens.1364},
     zbl = {0429.57012},
     mrnumber = {543215},
     language = {fr},
     url = {https://www.numdam.org/articles/10.24033/asens.1364/}
}
TY  - JOUR
AU  - Blanc, Philippe
TI  - Sur la cohomologie continue des groupes localement compacts
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1979
SP  - 137
EP  - 168
VL  - 12
IS  - 2
PB  - Elsevier
UR  - https://www.numdam.org/articles/10.24033/asens.1364/
DO  - 10.24033/asens.1364
LA  - fr
ID  - ASENS_1979_4_12_2_137_0
ER  - 
%0 Journal Article
%A Blanc, Philippe
%T Sur la cohomologie continue des groupes localement compacts
%J Annales scientifiques de l'École Normale Supérieure
%D 1979
%P 137-168
%V 12
%N 2
%I Elsevier
%U https://www.numdam.org/articles/10.24033/asens.1364/
%R 10.24033/asens.1364
%G fr
%F ASENS_1979_4_12_2_137_0
Blanc, Philippe. Sur la cohomologie continue des groupes localement compacts. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 12 (1979) no. 2, pp. 137-168. doi : 10.24033/asens.1364. https://www.numdam.org/articles/10.24033/asens.1364/

[1] Borel-Wallach, Séminaire sur la cohomologie des sous-groupes discrets (à paraître).

[2] N. Bourbaki, Espaces vectoriels topologiques.

[3] N. Bourbaki, Intégration, chap. IV et VII.

[4] Casselman-Wigner, Continuous Cohomology and a Conjecture of Serre's (Inv. Math., vol. 25, 1974, p. 199-211). | MR | Zbl

[5] J. Dixmier, Les algèbres d'opérateurs dans les espaces hilbertiens. | Zbl

[6] A. Grothendieck, Espaces vectoriels topologiques, São Paulo, 1964.

[7] A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires (Mem. Amer. Math. Soc., vol. 16, 1955). | MR | Zbl

[8] A. Guichardet, Sur la cohomologie des groupes topologiques II (Bull. Sc. math., 2e série, t. 96, 1972, p. 305-332). | MR | Zbl

[9] A. Guichardet, Une caractérisation des algèbres de Von Neuman discrète (Bull. Soc. math. Fr., t. 89, 1961, p. 77-101). | Numdam | MR | Zbl

[10] Haefliger, Differentiable Cohomology Cons and C.I.M.E., 1976.

[11] Hochschild-Mostov, Cohomology of Groups (III. J. Math., vol. 6, 1962, p. 367-401). | Zbl

[12] G. Köthe, Topological Vector Space I, Springer-Verlag, 1969. | Zbl

[13] S. Maclane, Homology, Springer-Verlag, 1967. | MR

[14] P. May, Simplicial Objects in Algebraic Topology (Math. Stud., # 11, Van Nostrand).

[15] Séminaire Maurey-Schwartz, 1974-1975.

[16] Mostov, Cohomology of Topological Groups and Solvmanifolds (Annals of Math., vol. 73, n° 1, 1961, p. 21-48). | MR | Zbl

[17] J. Pichaud, Sur la 1-cohomologie de certaines représentations induites (C.R. Acad. Sc., t. 282, 1976, p. 367-369). | MR | Zbl

[18] G. Pinczon et J. Simon, Sur la 1-cohomologie de groupes de Lie semi-simples (C. R. Acad. Sc., t. 279, 1974, p. 455-458). | MR | Zbl

[19] Warner, Harmonic Analysis on Semi-Simple Lie Groups I, n° 188, Springer Verlag. | MR | Zbl

  • Kopylov, Yaroslav; Sequeira, Emiliano On asymptotic and continuous group Orlicz cohomology, Annales de l'Institut Fourier (2025), p. 1 | DOI:10.5802/aif.3704
  • Mondal, Arghya n-Kazhdan groups and higher spectral expanders, Israel Journal of Mathematics, Volume 258 (2023) no. 1, p. 453 | DOI:10.1007/s11856-023-2480-1
  • Kędra, Jarek; Libman, Assaf; Martin, Ben Strong and uniform boundedness of groups, Journal of Topology and Analysis, Volume 15 (2023) no. 03, p. 707 | DOI:10.1142/s1793525321500497
  • Rodrigues Jacinto, Joaquín; Rodríguez Camargo, Juan Solid locally analytic representations of 𝑝-adic Lie groups, Representation Theory of the American Mathematical Society, Volume 26 (2022) no. 31, p. 962 | DOI:10.1090/ert/615
  • Monod, Nicolas The cohomology of semi-simple Lie groups, viewed from infinity, Transactions of the American Mathematical Society, Series B, Volume 9 (2022) no. 4, p. 144 | DOI:10.1090/btran/85
  • Bucher, Michelle; Burger, Marc; Iozzi, Alessandra Integrality of volumes of representations, Mathematische Annalen, Volume 381 (2021) no. 1-2, p. 209 | DOI:10.1007/s00208-020-02047-9
  • Bourdon, Marc; Rémy, Bertrand Quasi-isometric invariance of continuous group L p -cohomology, and first applications to vanishings, Annales Henri Lebesgue, Volume 3 (2020), p. 1291 | DOI:10.5802/ahl.61
  • KYED, DAVID; DENSING PETERSEN, HENRIK POLYNOMIAL COHOMOLOGY AND POLYNOMIAL MAPS ON NILPOTENT GROUPS, Glasgow Mathematical Journal, Volume 62 (2020) no. 3, p. 706 | DOI:10.1017/s0017089519000429
  • Bader, Uri; Nowak, Piotr W. Group algebra criteria for vanishing of cohomology, Journal of Functional Analysis, Volume 279 (2020) no. 11, p. 108730 | DOI:10.1016/j.jfa.2020.108730
  • Li, Jian-Shu; Sun, Binyong Low degree cohomologies of congruence groups, Science China Mathematics, Volume 62 (2019) no. 11, p. 2287 | DOI:10.1007/s11425-018-9476-8
  • Austin, Tim Euclidean-valued group cohomology is always reduced, Journal of Topology and Analysis, Volume 10 (2018) no. 03, p. 483 | DOI:10.1142/s1793525318500243
  • Kyed, David Topologizing Lie algebra cohomology, Differential Geometry and its Applications, Volume 49 (2016), p. 208 | DOI:10.1016/j.difgeo.2016.08.003
  • Kyed, David; Petersen, Henrik; Vaes, Stefaan 𝐿²-Betti numbers of locally compact groups and their cross section equivalence relations, Transactions of the American Mathematical Society, Volume 367 (2015) no. 7, p. 4917 | DOI:10.1090/s0002-9947-2015-06449-6
  • Bader, Uri; Rosendal, Christian; Sauer, Roman On the cohomology of weakly almost periodic group representations, Journal of Topology and Analysis, Volume 06 (2014) no. 02, p. 153 | DOI:10.1142/s1793525314500125
  • Fisher, David; Hitchman, Theron Strengthening Kazhdan’s property (T) by Bochner methods, Geometriae Dedicata, Volume 160 (2012) no. 1, p. 333 | DOI:10.1007/s10711-011-9686-9
  • Chatterji, Indira; Mislin, Guido; Pittet, Christophe; Saloff-Coste, Laurent A geometric criterion for the boundedness of characteristic classes, Mathematische Annalen, Volume 351 (2011) no. 3, p. 541 | DOI:10.1007/s00208-010-0610-7
  • Burger, Marc; Iozzi, Alessandra; Wienhard, Anna Surface group representations with maximal Toledo invariant, Annals of Mathematics, Volume 172 (2010) no. 1, p. 517 | DOI:10.4007/annals.2010.172.517
  • Burger, Marc; Iozzi, Alessandra Bounded differential forms, generalized Milnor–Wood inequality and an application to deformation rigidity, Geometriae Dedicata, Volume 125 (2007) no. 1, p. 1 | DOI:10.1007/s10711-006-9108-6
  • Monod, Nicolas Superrigidity for irreducible lattices and geometric splitting, Journal of the American Mathematical Society, Volume 19 (2006) no. 4, p. 781 | DOI:10.1090/s0894-0347-06-00525-x
  • Hain, Richard M.; Yang, Jun Real Grassmann polylogarithms and Chern classes, Mathematische Annalen, Volume 304 (1996) no. 1, p. 157 | DOI:10.1007/bf01446290
  • Conley, Charles H. Extensions of the Mass 0 Helicity 0 Representation of the Poincare Group, Noncompact Lie Groups and Some of Their Applications (1994), p. 315 | DOI:10.1007/978-94-011-1078-5_19
  • Mukhin, Yu. N. Topological groups, Journal of Soviet Mathematics, Volume 28 (1985) no. 6, p. 825 | DOI:10.1007/bf02105456

Cité par 22 documents. Sources : Crossref