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Amenable representations and finite injective von Neumann algebras
Authors:Alain Valette
Institution:Institut de Mathématiques, Université de Neuchâtel, Rue Emile Argand 11, CH-2007 Neuchâtel, Switzerland
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 $U(M)$.

Keywords:Amenable representations  finite injective von Neumann algebra  Kazhdan's property (T)
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