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Proceedings of the American Mathematical Society
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
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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 $U(M)$.


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Additional Information

Alain Valette
Affiliation: Institut de Mathématiques, Université de Neuchâtel, Rue Emile Argand 11, CH-2007 Neuchâtel, Switzerland
Email: valette@maths.unine.ch

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03754-4
PII: S 0002-9939(97)03754-4
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