English

On Ozawa's Property for Free Group Factors

Operator Algebras 2007-12-25 v5

Abstract

We give a new proof of a result of Ozawa showing that if a von Neumann subalgebra QQ of a free group factor LFn,2nL\Bbb F_n, 2\leq n\leq \infty has relative commutant diffuse (i.e. without atoms), then QQ is amenable.

Keywords

Cite

@article{arxiv.math/0608451,
  title  = {On Ozawa's Property for Free Group Factors},
  author = {Sorin Popa},
  journal= {arXiv preprint arXiv:math/0608451},
  year   = {2007}
}

Comments

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