Bekka, Mohammed; La Harpe, Pierre de
Représentations d'un groupe faiblement équivalentes à la représentation régulière
Bulletin de la Société Mathématique de France, Tome 122 (1994) no. 3 , p. 333-342
Zbl 0824.22011 | MR 95f:22011 | 2 citations dans Numdam
doi : 10.24033/bsmf.2235
URL stable : http://www.numdam.org/item?id=BSMF_1994__122_3_333_0

Bibliographie

[BCH] Bekka (M.), Cowling (M.) and De La Harpe (P.). — Some Groups whose Reduced C*-algebra is Simple, Prépublication, 1993.

[Bor] Borel (A.). — Density Properties for Certain Subgroups of Semi-simple Lie Groups Without Compact Factors, Ann. of Math., t. 72, 1960, p. 179-188. MR 23 #A964 | Zbl 0094.24901

[CoS] Cowling (M.) and Steger (T.). — The Irreducibility of Restrictions of Unitary Representations to Lattices, J. Reine Angew. Math., t. 420, 1991, p. 85-98. MR 93e:22019 | Zbl 0760.22014

[Del] Delorme (P.). — 1-cohomologie des représentations unitaires des groupes de Lie semi-simples et résolubles. Produits tensoriels continus de représentations, Bull. Soc. Math. France, t. 105, 1977, p. 281-336. Numdam | MR 58 #28272 | Zbl 0404.22006

[DC*] Dixmier (J.). — Les C*-algèbres et leurs représentations. — Gauthier-Villars, 1969. MR 39 #7442

[EhM] Ehrenpreis (L.) and Mautner (F.I.). — Some Properties of the Fourier Transform on Semi-simple Lie Groups I, Ann. of Math., t. 61, 1955, p. 406-439. MR 16,1017b | Zbl 0066.35701

[Eym] Eymard (P.). — Moyennes invariantes et représentations unitaires. — Springer, Lecture Notes in Math. 300, 1972. MR 56 #6279 | Zbl 0249.43004

[Fel] Fell (J.M.G.). — Weak Containment and Induced Representations of Groups, Canad. J. Math., t. 14, 1962, p. 237-268. MR 27 #242 | Zbl 0138.07301

[Gaa] Gaal (S.A.). — Linear Analysis and Representation Theory. — Springer, 1973. MR 56 #5777 | Zbl 0275.43008

[GHJ] Goodman (F.), De La Harpe (P.) and Jones (V.). — Coxeter Graphs and Towers of Algebras. — Springer, 1989. MR 91c:46082 | Zbl 0698.46050

[Har] De La Harpe (P.). — Operator Algebras, Free Groups and Other Groups, Colloque d'Orléans, juillet 1992.

[HoM] Howe (R.E.) and Moore (C.C.). — Asymptotic Properties of Unitary Representations, J. Funct. Anal., t. 32, 1979, p. 72-96. MR 80g:22017 | Zbl 0404.22015

[HoR] Howe (R.E.) and Rosenberg (J.). — The Unitary Representation Theory of GL(n) of an Infinite Discrete Field, Israel J. Math., t. 67, 1989, p. 67-8. Voir aussi J. ROSENBERG, C. R. Acad. Sc. Paris, t. 309, 1989, p. 581-586. MR 90m:22018 | Zbl 0707.22002

[Lan] Lang (S.). — SL2(ℝ). — Addison-Wesley, 1975. MR 55 #3170

[MvN] Murray (F.J.) and Von Neumann (J.). — On Rings of Operators, IV, Ann. of Math., t. 44, 1943, p. 716-808. MR 5,101a | Zbl 0060.26903

[Rep] Repka (J.). — Tensor Products of Unitary Representations of SL2 (ℝ), Amer. J. Math., t. 100, 1978, p. 747-774. MR 80g:22014 | Zbl 0402.22010

[Ter] Terras (A.). — Harmonic Analysis on Sammetric Spaces and Applications I. — Springer, 1985.

[Wal] Wallach (N.R.). — Harmonic Analysis on Homogeneous Spaces. — M. Dekker, 1973. MR 58 #16978 | Zbl 0265.22022

[Zim] Zimmer (R.J.). — Ergodic Theory and Semisimple Groups. — Birkhäuser, 1984. MR 86j:22014 | Zbl 0571.58015