A Note about proving non-$\Gamma$ under a finite non-microstates free Fisher information Assumption
Operator Algebras
2010-09-28 v2
Abstract
We prove that if are selfadjoints in a -probability space with finite non-microstates free Fisher information, then the von Neumann algebra they generate doesn't have property (especially is not amenable). This is an analog of a well-known result of Voiculescu for microstates free entropy. We also prove factoriality under finite non-microstates entropy.
Keywords
Cite
@article{arxiv.0804.2906,
title = {A Note about proving non-$\Gamma$ under a finite non-microstates free Fisher information Assumption},
author = {Yoann Dabrowski},
journal= {arXiv preprint arXiv:0804.2906},
year = {2010}
}
Comments
12 pages; New results with similar techniques; cf. abstracts for details