Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Amenable representations and finite
injective von Neumann algebras

Author: Alain Valette
Journal: Proc. Amer. Math. Soc. 125 (1997), 1841-1843
MSC (1991): Primary 22D25; Secondary 46L10
MathSciNet review: 1371145
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $U(M)$ be the unitary group of a finite, injective von Neumann algebra $M$. We observe that any subrepresentation of a group representation into $U(M)$ is amenable in the sense of Bekka; this yields short proofs of two known results-one by Robertson, one by Haagerup-concerning group representations into $U(M)$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 22D25, 46L10

Retrieve articles in all journals with MSC (1991): 22D25, 46L10

Additional Information

Alain Valette
Affiliation: Institut de Mathématiques, Université de Neuchâtel, Rue Emile Argand 11, CH-2007 Neuchâtel, Switzerland

Keywords: Amenable representations, finite injective von Neumann algebra, Kazhdan's property (T)
Received by editor(s): October 6, 1995
Received by editor(s) in revised form: December 5, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society