@article{BSMF_1997__125_2_199_0, author = {Anantharaman-Delaroche, Claire}, title = {Purely infinite $C^\ast $-algebras arising from dynamical systems}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {199--225}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {125}, number = {2}, year = {1997}, doi = {10.24033/bsmf.2304}, mrnumber = {99i:46051}, zbl = {0896.46044}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.2304/} }
TY - JOUR AU - Anantharaman-Delaroche, Claire TI - Purely infinite $C^\ast $-algebras arising from dynamical systems JO - Bulletin de la Société Mathématique de France PY - 1997 SP - 199 EP - 225 VL - 125 IS - 2 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2304/ DO - 10.24033/bsmf.2304 LA - en ID - BSMF_1997__125_2_199_0 ER -
%0 Journal Article %A Anantharaman-Delaroche, Claire %T Purely infinite $C^\ast $-algebras arising from dynamical systems %J Bulletin de la Société Mathématique de France %D 1997 %P 199-225 %V 125 %N 2 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2304/ %R 10.24033/bsmf.2304 %G en %F BSMF_1997__125_2_199_0
Anantharaman-Delaroche, Claire. Purely infinite $C^\ast $-algebras arising from dynamical systems. Bulletin de la Société Mathématique de France, Tome 125 (1997) no. 2, pp. 199-225. doi : 10.24033/bsmf.2304. http://www.numdam.org/articles/10.24033/bsmf.2304/
[1] Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups, Topology, t. 33, 1994, p. 765-783. | MR | Zbl
. -[2] Topological theory of dynamical systems, Recent advances, North-Holland Mathematical Library, t. 52, 1994. | MR | Zbl
, . -[3] Systèmes dynamiques non commutatifs et moyennabilité, Math. Ann., t. 279, 1987, p. 297-315. | MR | Zbl
. -[4] C*-algèbres purement infinies et groupes hyperboliques. - Prépublication, Orléans, 1995.
. -[5] Classification des C*-algèbres purement infinies nucléaires, d'après E. Kirchberg, Séminaire Bourbaki 1995-1996, exposé n° 805, to appear in Astérisque, 1996. | Numdam | Zbl
. -[6] Amenable groupoids, in preparation.
, . -[7] Star algebras associated with endomorphisms, in Operator algebras and group representations, vol. I, Pitman, 1984, p. 17-27. | MR | Zbl
, . -[8] Axial isometries of manifolds of non-positive curvature, Math. Ann., t. 259, 1982, p. 131-144. | MR | Zbl
. -[9] Manifolds of nonpositive curvature, Progress in Mathematics, t. 61, Birkhäuser, 1985. | MR | Zbl
, , . -[10] Some groups whose reduced C*-algebra is simple, Publ. Math. I.H.E.S., t. 80, 1994, p. 117-134. | EuDML | Numdam | MR | Zbl
, , . -[11] Sur les difféomorphismes d'Anosov affines à feuilletages stable et instable différentiables, Invent. Math., t. 111, 1993, p. 285-308. | EuDML | MR | Zbl
, . -[12] The structure of stable algebraically simple C*-algebras, Amer. J. Math., t. 104, 1982, p. 813-822. | MR | Zbl
, . -[13] Sur la théorie non commutative de l'intégration, in Algèbres d'opérateurs, Lecture Notes in Math., Springer-Verlag, t. 725, 1979, p. 19-143. | MR | Zbl
. -[14] Noncommutative geometry. - Academic Press, 1994. | MR | Zbl
. -[15] A class of C*-algebras and topological Markov chains, Invent. Math., t. 56, 1980, p. 251-268. | EuDML | MR | Zbl
, . -[16] Groupoids associated with endomorphisms, Trans. Amer. Math. Soc., t. 347, 1995, p. 1779-1786. | MR | Zbl
. -[17] Visibility manifolds, Pacific J. Math., t. 46, 1973, p. 45-110. | MR | Zbl
, . -[18] Sur les représentations et idéaux de la C*-algèbre d'un feuilletage, J. Operator Theory, t. 8, 1982, p. 95-129. | MR | Zbl
, . -[19] Sur les groupes hyperboliques, d'après Mikhael Gromov, Progress in Mathematics, Birkhäuser, t. 83, 1990. | Zbl
, , éd. -[20] Hyperbolic groups, in Essays in group theory, édité par S.M. Gersten, M.S.R.I. Publ., Springer, t. 8, 1987, p. 75-263. | MR | Zbl
. -[21] Differential geometry, Lie groups, and symmetric spaces. - Academic Press, 1978. | Zbl
. -[22] Stabilité des C*-algèbres de feuilletages, Ann. Inst. Fourier, t. 33, 1983, p. 201-208. | EuDML | Numdam | MR | Zbl
, . -[23] Introduction to the modern theory of dynamical systems, Encyclopedia of Mathematics and its applications, Cambridge University Press, t. 54, 1995. | MR | Zbl
, . -[24] The classification of purely infinite C*-algebras using Kasparov's theory, version préliminaire, Humboldt Universität zu Berlin, 1994.
. -[25] Purely infinite C*-algebras from boundary actions of discrete groups, Prépublication, 1995. | Zbl
, . -[26] Hilbert C*-modules, A toolkit for operator algebraists, London Math. Soc. L. N. S., t. 210, Cambridge University Press, 1995. | MR | Zbl
. -[27] Strong rigidity of locally symmetric spaces. - Princeton University Press, 1973. | MR | Zbl
. -[28] Equivalence and isomorphisms for groupoid C*-algebras, J. Operator Theory, t. 17, 1987, p. 3-22. | MR | Zbl
, , . -[29] A classification theorem for purely infinite simple C*-algebras. - Prépublication, Univ. Oregon and Fields Inst., 1995.
. -[30] Strong Morita equivalence of certain transformation group C*-algebras, Math. Ann., t. 222, 1976, p. 7-22. | EuDML | MR | Zbl
. -[31] Endomorphisms of compacts differentiable manifolds, Amer. J. Math., t. 91, 1969, p. 175-199. | MR | Zbl
. -[32] Fundamental groups of negatively curved manifolds and actions of semisimple groups, Topology, t. 30, 1991, p. 591-601. | MR | Zbl
, . -[33] Free-product groups, Cuntz-Krieger algebras, and covariant maps, Int. J. Math., t. 2, 1991, p. 457-476. | MR | Zbl
. -[34] Cuntz-Krieger algebras associated with Fuchsian groups, Ergod. Th. and Dynam. Sys., t. 13, 1993, p. 581-595. | MR | Zbl
. -[35] A groupoid approach to C*-algebras, Lecture Notes in Math. n° 793, Springer-Verlag, New York, Heidelberg, Berlin, 1980. | MR | Zbl
. -[36] Amenable ergodic group actions and an application to Poisson boundaries of random walk, J. Funct. Anal., t. 27, 1978, p. 350-372. | MR | Zbl
. -[37] Hyperfinite factors and amenable ergodic actions, Invent. Math., t. 41, 1977, p. 23-31. | MR | Zbl
. -[38] On the von Neumann algebra of an ergodic group action, Proc. Amer. Math. Soc., t. 66, 1977, p. 289-293. | MR | Zbl
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