@article{PMIHES_1994__80__117_0,
author = {Bekka, Mohammed Bachir and Cowling, Michael and La Harpe, Pierre de},
title = {Some groups whose reduced $C^\ast $-algebra is simple},
journal = {Publications Math\'ematiques de l'IH\'ES},
volume = {80},
year = {1994},
pages = {117-134},
mrnumber = {96a:22020},
zbl = {0827.22001},
language = {en},
url = {http://dml.mathdoc.fr/item/PMIHES_1994__80__117_0}
}
Bekka, M.; Cowling, M.; La Harpe, P. de. Some groups whose reduced $C^\ast $-algebra is simple. Publications Mathématiques de l'IHÉS, Tome 80 (1994) pp. 117-134. http://gdmltest.u-ga.fr/item/PMIHES_1994__80__117_0/
[Ake] , Operator algebras associated with Fuchsian groups, Houston J. Math., 7 (1981), 295-301. | MR 83a:22004 | Zbl 0484.22011
[AkO] and , Computing norms in group C*-algebras, Amer. J. Math., 98 (1976), 1015-1047. | MR 56 #1079 | Zbl 0342.22008
[BCH] , and , Simplicity of the reduced C*-algebra of PSL(n,Z), Inter. Math. Res. Not., 7 (1994), 285-291. | MR 95h:22005 | Zbl 0827.22002
[BeL] and , Sur les difféomorphismes d'Anosov affines à feuilletages stable et instable différentiables, Invent. Math., 111 (1993), 285-308. | MR 94d:58114 | Zbl 0777.58029
[BGS] , and , Manifolds of Nonpositive Curvature, Birkhäuser, 1985. | MR 87h:53050 | Zbl 0591.53001
[CMSZ1] , , and , Groups acting simply transitively on the vertices of a building of type Ã2, I, Geom. Ded., 47 (1993), 143-166. | MR 95b:20053 | Zbl 0784.51010
[CMSZ2] , , and , Groups acting simply transitively on the vertices of a building of type Ã2, II, Geom. Ded., 47 (1993), 167-223. | MR 95b:20054 | Zbl 0784.51011
[Dix] , Les C*-algèbres et leurs représentations, Gauthiers-Villars, 1969. | MR 39 #7442 | Zbl 0174.18601
[EbO] and , Visibility manifolds, Pacific J. Math., 46 (1973), 45-110. | MR 49 #1421 | Zbl 0264.53026
[GoM] and , A condition for simplicity of the spectrum of Lyapunov exponents, Soviet Math. Dokl., 35 (1987), 309-313. | MR 89c:60073 | Zbl 0638.15010
[GuR] and , Propriétés de contraction d'un semi-groupe de matrices inversibles, Israel J. Math., 65 (1989), 165-196. | MR 91b:22006 | Zbl 0677.60007
[Ha1] , Reduced C*-algebras of discrete groups which are simple with unique trace, Springer Lecture Notes in Math., 1132 (1985), 230-253. | MR 87b:22007 | Zbl 0575.46049
[Ha2] , Free subgroups in linear groups, L'Enseignement Math., 29 (1983), 129-144. | MR 84i:20050 | Zbl 0517.20024
[Ha3] , Groupes hyperboliques, algèbres d'opérateurs, et un théorème de Jolissaint, C. R. Acad. Sci. Paris, 307, Série I (1988), 771-774. | MR 90d:22005 | Zbl 0653.46059
[HaP] and , Bounded linear operators between C*-algebras, Duke Math. J., 71 (1993), 889-925. | MR 94k:46112 | Zbl 0803.46064
[HaS] and , Powers' property and simple C*-algebras, Math. Ann., 273 (1986), 241-250. | MR 87f:46124 | Zbl 0563.46033
[HoR] and , The unitary representation theory of GL(n) of an infinite discrete field, Israel J. Math., 67 (1989), 67-81. | MR 90m:22018 | Zbl 0707.22002
[Kir] , Positive definite functions on a group of matrices with elements from a discrete field, Soviet Math. Dokl., 6 (1965), 707-709. | MR 33 #1404 | Zbl 0133.37505
[Lei] , Faltungsoperatoren auf gewissen diskreten Gruppen, Studia Math., 52 (1974), 149-158. | MR 50 #7954 | Zbl 0262.43009
[Mos] , Strong Rigidity of Locally Symmetric Spaces, Princeton University Press, 1973. | MR 52 #5874 | Zbl 0265.53039
[PaS] and , C*-algebras associated with the free products of groups, Pacific J. Math., 82 (1979), 211-221. | MR 82c:22010 | Zbl 0413.46049
[Pow] , Simplicity of the C*-algebra associated with the free group on two generators, Duke Math. J., 42 (1975), 151-156. | MR 51 #10534 | Zbl 0342.46046
[Ros] , Un complément à un théorème de Kirillov sur les caractères de GL(n) d'un corps infini discret, C. R. Acad. Sci. Paris, 309, Série I (1989), 581-586. | MR 91h:22010 | Zbl 0902.22004
[Tit] , Free subgroups in linear groups, J. Algebra, 20 (1972), 250-270. | MR 44 #4105 | Zbl 0236.20032
[Wal] , Harmonic Analysis on Homogeneous Spaces, Marcel Dekker, 1973. | MR 58 #16978 | Zbl 0265.22022
[War] , Harmonic Analysis on Semisimple Lie Groups I, Springer-Verlag, 1972. | Zbl 0265.22020
[Zim] , Ergodic Theory and Semisimple Groups, Birkhäuser, 1984. | MR 86j:22014 | Zbl 0571.58015