@article{PMIHES_1994__80__117_0, author = {Bekka, M. and Cowling, M. and La Harpe, P. de}, title = {Some groups whose reduced $C^\ast $-algebra is simple}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {117--134}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {80}, year = {1994}, mrnumber = {1320606}, zbl = {0827.22001}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1994__80__117_0/} }
TY - JOUR AU - Bekka, M. AU - Cowling, M. AU - La Harpe, P. de TI - Some groups whose reduced $C^\ast $-algebra is simple JO - Publications Mathématiques de l'IHÉS PY - 1994 SP - 117 EP - 134 VL - 80 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_1994__80__117_0/ LA - en ID - PMIHES_1994__80__117_0 ER -
%0 Journal Article %A Bekka, M. %A Cowling, M. %A La Harpe, P. de %T Some groups whose reduced $C^\ast $-algebra is simple %J Publications Mathématiques de l'IHÉS %D 1994 %P 117-134 %V 80 %I Institut des Hautes Études Scientifiques %U http://archive.numdam.org/item/PMIHES_1994__80__117_0/ %G en %F 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://archive.numdam.org/item/PMIHES_1994__80__117_0/
[Ake] Operator algebras associated with Fuchsian groups, Houston J. Math., 7 (1981), 295-301. | MR | Zbl
,[AkO] Computing norms in group C*-algebras, Amer. J. Math., 98 (1976), 1015-1047. | MR | Zbl
and ,[BCH] Simplicity of the reduced C*-algebra of PSL(n,Z), Inter. Math. Res. Not., 7 (1994), 285-291. | MR | Zbl
, and ,[BeL] Sur les difféomorphismes d'Anosov affines à feuilletages stable et instable différentiables, Invent. Math., 111 (1993), 285-308. | MR | Zbl
and ,[BGS] Manifolds of Nonpositive Curvature, Birkhäuser, 1985. | MR | Zbl
, and ,[CMSZ1] Groups acting simply transitively on the vertices of a building of type Ã2, I, Geom. Ded., 47 (1993), 143-166. | MR | Zbl
, , and ,[CMSZ2] Groups acting simply transitively on the vertices of a building of type Ã2, II, Geom. Ded., 47 (1993), 167-223. | MR | Zbl
, , and ,[Dix] Les C*-algèbres et leurs représentations, Gauthiers-Villars, 1969. | MR | Zbl
,[EbO] Visibility manifolds, Pacific J. Math., 46 (1973), 45-110. | MR | Zbl
and ,[GoM] A condition for simplicity of the spectrum of Lyapunov exponents, Soviet Math. Dokl., 35 (1987), 309-313. | MR | Zbl
and ,[GuR] Propriétés de contraction d'un semi-groupe de matrices inversibles, Israel J. Math., 65 (1989), 165-196. | MR | Zbl
and ,[Ha1] Reduced C*-algebras of discrete groups which are simple with unique trace, Springer Lecture Notes in Math., 1132 (1985), 230-253. | MR | Zbl
,[Ha2] Free subgroups in linear groups, L'Enseignement Math., 29 (1983), 129-144. | MR | Zbl
,[Ha3] Groupes hyperboliques, algèbres d'opérateurs, et un théorème de Jolissaint, C. R. Acad. Sci. Paris, 307, Série I (1988), 771-774. | MR | Zbl
,[HaP] Bounded linear operators between C*-algebras, Duke Math. J., 71 (1993), 889-925. | MR | Zbl
and ,[HaS] Powers' property and simple C*-algebras, Math. Ann., 273 (1986), 241-250. | MR | Zbl
and ,[HoR] The unitary representation theory of GL(n) of an infinite discrete field, Israel J. Math., 67 (1989), 67-81. | MR | Zbl
and ,[Kir] Positive definite functions on a group of matrices with elements from a discrete field, Soviet Math. Dokl., 6 (1965), 707-709. | MR | Zbl
,[Lei] Faltungsoperatoren auf gewissen diskreten Gruppen, Studia Math., 52 (1974), 149-158. | MR | Zbl
,[Mos] Strong Rigidity of Locally Symmetric Spaces, Princeton University Press, 1973. | MR | Zbl
,[PaS] C*-algebras associated with the free products of groups, Pacific J. Math., 82 (1979), 211-221. | MR | Zbl
and ,[Pow] Simplicity of the C*-algebra associated with the free group on two generators, Duke Math. J., 42 (1975), 151-156. | MR | Zbl
,[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 | Zbl
,[Tit] Free subgroups in linear groups, J. Algebra, 20 (1972), 250-270. | MR | Zbl
,[Wal] Harmonic Analysis on Homogeneous Spaces, Marcel Dekker, 1973. | MR | Zbl
,[War] Harmonic Analysis on Semisimple Lie Groups I, Springer-Verlag, 1972. | Zbl
,[Zim] Ergodic Theory and Semisimple Groups, Birkhäuser, 1984. | MR | Zbl
,