Two applications of free entropy
funct-an
2008-02-03 v2 Operator Algebras
Abstract
Using Voiculsecu's free entropy, it is shown that the free group factors L(F_n) lack property C of Popa and that they lack finite multiplicity abelian subalgebras. Property C is an assymptotic commutivity property.
Cite
@article{arxiv.funct-an/9605005,
title = {Two applications of free entropy},
author = {Ken Dykema},
journal= {arXiv preprint arXiv:funct-an/9605005},
year = {2008}
}
Comments
14 pages, AMS-TeX. This revision corrects an error in Lemma 2.2