Représentations d'un groupe faiblement équivalentes à la représentation régulière

Mohammed Bekka; Pierre de La Harpe

Bulletin de la Société Mathématique de France (1994)

  • Volume: 122, Issue: 3, page 333-342
  • ISSN: 0037-9484

How to cite

top

Bekka, Mohammed, and La Harpe, Pierre de. "Représentations d'un groupe faiblement équivalentes à la représentation régulière." Bulletin de la Société Mathématique de France 122.3 (1994): 333-342. <http://eudml.org/doc/87693>.

@article{Bekka1994,
author = {Bekka, Mohammed, La Harpe, Pierre de},
journal = {Bulletin de la Société Mathématique de France},
keywords = {simple Lie group; Zariski-dense discrete subgroup; lattice; left regular representation; discrete series representation; complementary series},
language = {fre},
number = {3},
pages = {333-342},
publisher = {Société mathématique de France},
title = {Représentations d'un groupe faiblement équivalentes à la représentation régulière},
url = {http://eudml.org/doc/87693},
volume = {122},
year = {1994},
}

TY - JOUR
AU - Bekka, Mohammed
AU - La Harpe, Pierre de
TI - Représentations d'un groupe faiblement équivalentes à la représentation régulière
JO - Bulletin de la Société Mathématique de France
PY - 1994
PB - Société mathématique de France
VL - 122
IS - 3
SP - 333
EP - 342
LA - fre
KW - simple Lie group; Zariski-dense discrete subgroup; lattice; left regular representation; discrete series representation; complementary series
UR - http://eudml.org/doc/87693
ER -

References

top
  1. [BCH] BEKKA (M.), COWLING (M.) and DE LA HARPE (P.). &#x2014; Some Groups whose Reduced C*-algebra is Simple, Prébublication, 1993. 
  2. [Bor] BOREL (A.). &#x2014; Density Properties for Certain Subgroups of Semi-simple Lie Groups Without Compact Factors, Ann. of Math., t. 72, 1960, p. 179-188. Zbl0094.24901MR23 #A964
  3. [CoS] COWLING (M.) and STEGER (T.). &#x2014; The Irreducibility of Restrictions of Unitary Representations to Lattices, J. Reine Angew. Math., t. 420, 1991, p. 85-98. Zbl0760.22014MR93e:22019
  4. [Del] DELORME (P.). &#x2014; 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. Zbl0404.22006MR58 #28272
  5. [DC*] DIXMIER (J.). &#x2014; Les C*-algèbres et leurs représentations. &#x2014; Gauthier-Villars, 1969. MR39 #7442
  6. [EhM] EHRENPREIS (L.) and MAUTNER (F.I.). &#x2014; Some Properties of the Fourier Transform on Semi-simple Lie Groups I, Ann. of Math., t. 61, 1955, p. 406-439. Zbl0066.35701MR16,1017b
  7. [Eym] EYMARD (P.). &#x2014; Moyennes invariantes et représentations unitaires. &#x2014; Springer, Lecture Notes in Math. 300, 1972. Zbl0249.43004MR56 #6279
  8. [Fel] FELL (J.M.G.). &#x2014; Weak Containment and Induced Representations of Groups, Canad. J. Math., t. 14, 1962, p. 237-268. Zbl0138.07301MR27 #242
  9. [Gaa] GAAL (S.A.). &#x2014; Linear Analysis and Representation Theory. &#x2014; Springer, 1973. Zbl0275.43008MR56 #5777
  10. [GHJ] GOODMAN (F.), DE LA HARPE (P.) and JONES (V.). &#x2014; Coxeter Graphs and Towers of Algebras. &#x2014; Springer, 1989. Zbl0698.46050MR91c:46082
  11. [Har] DE LA HARPE (P.). &#x2014; Operator Algebras, Free Groups and Other Groups, Colloque d'Orléans, juillet 1992. 
  12. [HoM] HOWE (R.E.) and MOORE (C.C.). &#x2014; Asymptotic Properties of Unitary Representations, J. Funct. Anal., t. 32, 1979, p. 72-96. Zbl0404.22015MR80g:22017
  13. [HoR] HOWE (R.E.) and ROSENBERG (J.). &#x2014; 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. Zbl0707.22002MR90m:22018
  14. [Lan] LANG (S.). &#x2014; SL2(&#x211D;). &#x2014; Addison-Wesley, 1975. MR55 #3170
  15. [MvN] MURRAY (F.J.) and VON NEUMANN (J.). &#x2014; On Rings of Operators, IV, Ann. of Math., t. 44, 1943, p. 716-808. Zbl0060.26903MR5,101a
  16. [Rep] REPKA (J.). &#x2014; Tensor Products of Unitary Representations of SL2 (&#x211D;), Amer. J. Math., t. 100, 1978, p. 747-774. Zbl0402.22010MR80g:22014
  17. [Ter] TERRAS (A.). &#x2014; Harmonic Analysis on Sammetric Spaces and Applications I. &#x2014; Springer, 1985. 
  18. [Wal] WALLACH (N.R.). &# Harmonic Analysis on Homogeneous Spaces. &#x2014; M. Dekker, 1973. Zbl0265.22022MR58 #16978
  19. [Zim] ZIMMER (R.J.). &#x2014; Ergodic Theory and Semisimple Groups. &#x2014; Birkhäuser, 1984. Zbl0571.58015MR86j:22014

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.