A note on rigidity for crossed product von Neumann algebras
Operator Algebras
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0606664,
title = {A note on rigidity for crossed product von Neumann algebras},
author = {Tomohiro Hayashi},
journal= {arXiv preprint arXiv:math/0606664},
year = {2007}
}
Comments
5pages