Two applications of free entropy
Abstract
Description
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.
14 pages, AMS-TeX. This revision corrects an error in Lemma 2.2
14 pages, AMS-TeX. This revision corrects an error in Lemma 2.2