On C*-algebras associated with locally compact groups

Proceedings of the American Mathematical Society

Volumn 124, Issue 10, 1996, Pages 3151-3158

  Bekka, M B ^a   Kaniuth, E ^b   Lau, A T ^c   Schlichting, G ^d  

^a UNIVERSITÉ DE LORRAINE   (France)

^b UNIVERSITY OF PADERBORN   (Germany)

^c UNIVERSITY OF ALBERTA   (Canada)

^d TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Amenable group; Connected Lie group; Fourier algebra; Group C* algebra; Weak containment

Indexed keywords

EID: 21444439761     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03382-5     Document Type: Article

References (14)

1. [AkO] C. Akemann and P. Ostrand, Computing norms in group C*-algebras, Amer. J. Math. 98 (1976), 1015-1048. MR 56:1079
2. [Béd] E. Bédos, On the C*-algebra generated by the left regular representation of a locally compact group, Proc. Amer. Math. Soc. 120 (1994), 603-608. MR 94d:22004
3. [BCH] M.B. Bekka, M. Cowling and P. de la Harpe, Some groups whose reduced C*-algebra is simple, Publ. Math. IHES 80 (1994), 117-134.
4. [Bek] M.B. Bekka, Amenable unitary representations of locally compact groups, Invent. Math. 100 (1990), 383-401. MR 91g:22007
5. [BeV] M.B. Bekka and A. Valette, On duals of Lie groups made discrete, J. reine angew. Math. 439 (1993), 1-10. MR 94k:22003
6. [Dix] J. Dixmier, C*-algebras, North-Holland, 1977. MR 56:16388
7. [DuR] C. Dunkl and D. Ramirez, C*-algebras generated by Fourier-Stieltjes transforms, Trans. Amer. Math. Soc. 164 (1972), 435-441. MR 46:9646
8. [Eym] P. Eymard, L'algèbre de Fourier d'un groupe localement compact, Bull. Soc. Math. France 92 (1964), 181-236. MR 37:4208
9. [HeR] E. Hewitt and K. Ross, Abstract Harmonic Analysis I, Springer-Verlag, 1994.
10. [Kes] H. Kesten, Symmetric random walks on groups, Trans. Amer. Math. Soc. 92 (1959), 336-354. MR 22:253
11. [Lei] M. Leinert, Faltungsoperatoren auf gewissen diskreten Gruppen, Studia Math. 52 (1974), 149-158. MR 50:7594
12. [MoZ] D. Montgomery and L. Zippin, Topological transformation groups, Interscience (1955). MR 17:383
13. [Pat] A. Paterson, Amenability, Amer. Math. Soc. (1988). MR 90e:43001
14. [Pie] J.P. Pier, Amenable Locally Compact Groups, Wiley, 1984. MR 86a:43001