A Kurosh-Type Theorem for Type III Factors
Operator Algebras
2008-09-23 v1
Abstract
We prove a generalization of N. Ozawa's Kurosh-type theorem to the setting of free products of semiexact II_1 factors with respect to arbitrary (non-tracial) faithful normal states. We are thus able to distinguish certain resulting type III factors. For example, if M = LF_n \otimes LF_m and {\phi_i} is any sequence of faithful normal states on M, then the l-various (M,\phi_1) * ... * (M,\phi_l) are all mutually non-isomorphic.
Cite
@article{arxiv.0809.3488,
title = {A Kurosh-Type Theorem for Type III Factors},
author = {Jason Asher},
journal= {arXiv preprint arXiv:0809.3488},
year = {2008}
}
Comments
7 pages