On the relative weak asymptotic homomorphism property for triples of group von Neumann algebras

Author:
Paul Jolissaint

Journal:
Proc. Amer. Math. Soc. **140** (2012), 1393-1396

MSC (2010):
Primary 46L10; Secondary 22D25

DOI:
https://doi.org/10.1090/S0002-9939-2011-10990-0

Published electronically:
August 5, 2011

MathSciNet review:
2869123

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Abstract | References | Similar Articles | Additional Information

Abstract: A triple of finite von Neumann algebras is said to have the relative weak asymptotic homomorphism property if there exists a net of unitaries such that

**1.**Vitaly Bergelson and Joseph Rosenblatt,*Mixing actions of groups*, Illinois J. Math.**32**(1988), no. 1, 65–80. MR**921351****2.**I. Chifan,*On the normalizing algebra of a MASA in a II factor*, arXiv:math.OA/0606225, 2006.**3.**J. Fang, M. Gao and R. R. Smith,*The relative weak asymptotic homomorphism property for inclusions of finite von Neumann algebras*, arXiv:math.OA/1005.3049 v1, 2010.

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Additional Information

**Paul Jolissaint**

Affiliation:
Université de Neuchâtel, Institut de Mathémathiques, Emile-Argand 11, 2000 Neuchâtel, Switzerland

Email:
paul.jolissaint@unine.ch

DOI:
https://doi.org/10.1090/S0002-9939-2011-10990-0

Keywords:
von Neumann algebra,
one-sided quasi-normalizer,
discrete group,
quasi-regular representation,
asymptotic homomorphism

Received by editor(s):
November 8, 2010

Received by editor(s) in revised form:
November 18, 2010, and January 5, 2011

Published electronically:
August 5, 2011

Communicated by:
Marius Junge

Article copyright:
© Copyright 2011
American Mathematical Society