On Ozawa's Property for Free Group Factors

Abstract

We give a new proof of a result of Ozawa showing that if a von Neumann subalgebra $Q$ of a free group factor $L{\mathbb{F}}_n,2\le n\le \infty$ has relative commutant diffuse (i.e. without atoms), then $Q$ is amenable.

arXiv commentFinal form; paper appeared in Int. Math. Res. Notices, 2007

References in corpus (2)

• Some prime factorization results for type II_1 factors
• A 1-cohomology characterization of property (T) in von Neumann algebras

Cited by in corpus (1)

• A new construction of factors of type $\mathrm{II}{\mathrm{I}}_1$