On the Classification of Full Factors of Type III
Operator Algebras
2007-05-23 v1
Abstract
We introduce a new invariant \mathcal{S}(M) for type III factors M with no almost-periodic weights. We compute this invariant for certain free Araki-Woods factors. We show that Connes' invariant \tau cannot distinguish all isomorphism classes of free Araki-Woods factors. We show that there exists a continuum of mutually non-isomorphic free Araki-Woods factors, each without almost-periodic weights.
Keywords
Cite
@article{arxiv.math/0201007,
title = {On the Classification of Full Factors of Type III},
author = {Dimitri Shlyakhtenko},
journal= {arXiv preprint arXiv:math/0201007},
year = {2007}
}