Amenable representations and finite injective von Neumann algebras

Valette, Alain

doi:10.1090/S0002-9939-97-03754-4

Amenable representations and finite injective von Neumann algebras
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Proc. Amer. Math. Soc. 125 (1997), 1841-1843 Request permission

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

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