On a question of D. Shlyakhtenko

Authors:
Ionut Chifan and Adrian Ioana

Journal:
Proc. Amer. Math. Soc. **139** (2011), 1091-1093

MSC (2010):
Primary 46L10; Secondary 37A20

DOI:
https://doi.org/10.1090/S0002-9939-2010-10553-1

Published electronically:
August 23, 2010

MathSciNet review:
2745659

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Abstract | References | Similar Articles | Additional Information

Abstract: In this short paper we construct two countable, infinite conjugacy class (ICC) groups which admit free, ergodic, probability measure-preserving orbit equivalent actions but whose group von Neumann algebras are not (stably) isomorphic.

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Additional Information

**Ionut Chifan**

Affiliation:
Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240 – and – Institute of Mathematics “Simion Stoilow” of the Romanian Academy, Bucharest, Romania

Email:
ionut.chifan@vanderbilt.edu

**Adrian Ioana**

Affiliation:
Department of Mathematics, University of California Los Angeles, Los Angeles, California 90095 – and – Institute of Mathematics “Simion Stoilow” of the Romanian Academy, Bucharest, Romania

Email:
aioana@caltech.edu

DOI:
https://doi.org/10.1090/S0002-9939-2010-10553-1

Keywords:
von Neumann algebra,
$W^{*}$-equivalence,
orbit equivalence

Received by editor(s):
September 3, 2009

Received by editor(s) in revised form:
April 5, 2010

Published electronically:
August 23, 2010

Communicated by:
Marius Junge

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.