@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}, volume = {125}, year = {1997}, pages = {199-225}, doi = {10.24033/bsmf.2304}, mrnumber = {99i:46051}, zbl = {0896.46044}, language = {en}, url = {http://dml.mathdoc.fr/item/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) pp. 199-225. doi : 10.24033/bsmf.2304. http://gdmltest.u-ga.fr/item/BSMF_1997__125_2_199_0/
[1] Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups, Topology, t. 33, 1994, p. 765-783. | MR 96g:58104 | Zbl 0838.20042
. -[2] Topological theory of dynamical systems, Recent advances, North-Holland Mathematical Library, t. 52, 1994. | MR 95m:58095 | Zbl 0798.54047
, . -[3] Systèmes dynamiques non commutatifs et moyennabilité, Math. Ann., t. 279, 1987, p. 297-315. | MR 89f:46127 | Zbl 0608.46036
. -[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 0961.46040
. -[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 85k:46063 | Zbl 0532.46041
, . -[8] Axial isometries of manifolds of non-positive curvature, Math. Ann., t. 259, 1982, p. 131-144. | MR 83i:53068 | Zbl 0487.53039
. -[9] Manifolds of nonpositive curvature, Progress in Mathematics, t. 61, Birkhäuser, 1985. | MR 87h:53050 | Zbl 0591.53001
, , . -[10] Some groups whose reduced C*-algebra is simple, Publ. Math. I.H.E.S., t. 80, 1994, p. 117-134. | Numdam | MR 96a:22020 | Zbl 0827.22001
, , . -[11] Sur les difféomorphismes d'Anosov affines à feuilletages stable et instable différentiables, Invent. Math., t. 111, 1993, p. 285-308. | MR 94d:58114 | Zbl 0777.58029
, . -[12] The structure of stable algebraically simple C*-algebras, Amer. J. Math., t. 104, 1982, p. 813-822. | MR 84c:46057 | Zbl 0518.46048
, . -[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 81g:46090 | Zbl 0412.46053
. -[14] Noncommutative geometry. - Academic Press, 1994. | MR 95j:46063 | Zbl 0818.46076
. -[15] A class of C*-algebras and topological Markov chains, Invent. Math., t. 56, 1980, p. 251-268. | MR 82f:46073a | Zbl 0434.46045
, . -[16] Groupoids associated with endomorphisms, Trans. Amer. Math. Soc., t. 347, 1995, p. 1779-1786. | MR 95h:46104 | Zbl 0826.46058
. -[17] Visibility manifolds, Pacific J. Math., t. 46, 1973, p. 45-110. | MR 49 #1421 | Zbl 0264.53026
, . -[18] Sur les représentations et idéaux de la C*-algèbre d'un feuilletage, J. Operator Theory, t. 8, 1982, p. 95-129. | MR 84d:46101 | Zbl 0493.46051
, . -[19] Sur les groupes hyperboliques, d'après Mikhael Gromov, Progress in Mathematics, Birkhäuser, t. 83, 1990. | Zbl 0731.20025
, , 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 89e:20070 | Zbl 0634.20015
. -[21] Differential geometry, Lie groups, and symmetric spaces. - Academic Press, 1978. | Zbl 0451.53038
. -[22] Stabilité des C*-algèbres de feuilletages, Ann. Inst. Fourier, t. 33, 1983, p. 201-208. | Numdam | MR 85f:58115 | Zbl 0505.46043
, . -[23] Introduction to the modern theory of dynamical systems, Encyclopedia of Mathematics and its applications, Cambridge University Press, t. 54, 1995. | MR 96c:58055 | Zbl 0878.58020
, . -[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 0863.46044
, . -[26] Hilbert C*-modules, A toolkit for operator algebraists, London Math. Soc. L. N. S., t. 210, Cambridge University Press, 1995. | MR 96k:46100 | Zbl 0822.46080
. -[27] Strong rigidity of locally symmetric spaces. - Princeton University Press, 1973. | MR 52 #5874 | Zbl 0265.53039
. -[28] Equivalence and isomorphisms for groupoid C*-algebras, J. Operator Theory, t. 17, 1987, p. 3-22. | MR 88h:46123 | Zbl 0645.46040
, , . -[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. | MR 54 #7695 | Zbl 0328.22013
. -[31] Endomorphisms of compacts differentiable manifolds, Amer. J. Math., t. 91, 1969, p. 175-199. | MR 39 #2169 | Zbl 0201.56305
. -[32] Fundamental groups of negatively curved manifolds and actions of semisimple groups, Topology, t. 30, 1991, p. 591-601. | MR 92m:57047 | Zbl 0744.57022
, . -[33] Free-product groups, Cuntz-Krieger algebras, and covariant maps, Int. J. Math., t. 2, 1991, p. 457-476. | MR 92j:46120 | Zbl 0769.46044
. -[34] Cuntz-Krieger algebras associated with Fuchsian groups, Ergod. Th. and Dynam. Sys., t. 13, 1993, p. 581-595. | MR 94k:46143 | Zbl 0786.46051
. -[35] A groupoid approach to C*-algebras, Lecture Notes in Math. n° 793, Springer-Verlag, New York, Heidelberg, Berlin, 1980. | MR 82h:46075 | Zbl 0433.46049
. -[36] Amenable ergodic group actions and an application to Poisson boundaries of random walk, J. Funct. Anal., t. 27, 1978, p. 350-372. | MR 57 #12775 | Zbl 0391.28011
. -[37] Hyperfinite factors and amenable ergodic actions, Invent. Math., t. 41, 1977, p. 23-31. | MR 57 #10438 | Zbl 0361.46061
. -[38] On the von Neumann algebra of an ergodic group action, Proc. Amer. Math. Soc., t. 66, 1977, p. 289-293. | MR 57 #592 | Zbl 0367.28013
. -