Subfactors of $L(F_{\infty})$ - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T14:26:20Z http://mathoverflow.net/feeds/question/98911 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/98911/subfactors-of-lf-infty Subfactors of $L(F_{\infty})$ Mike Hartglass 2012-06-05T21:58:51Z 2012-06-05T21:58:51Z <p>It is a well known result that any subfactor of the hyperfinite $II_{1}$ factor is hyperfinite. I wonder if there is any finite index version of this for free group factors. In particular is it true that if $N \subset L(F_{\infty})$ is a finite index subfactor then $N \cong L(F_{\infty})?$</p>