A note on rigidity for crossed product von Neumann algebras

Details A note on rigidity for crossed product von Neumann algebras A note on rigidity for crossed product von Neumann algebras

2006-06-27

arxiv.org/abs/math/0606664v2

Mathematics

Operator Algebras

5pages

Scientific paper

In this note, we will point out, as a corollary of Popa's rigidity theory,
that the crossed product von Neumann algebras for Bernoulli shifts cannot have
relative property T. This is an operator algebra analogue of the theorem shown
by Neuhauser and Cherix-Martin-Valette for discrete groups. Our proof is
different from that for groups.

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