A Kurosh type theorem for type II_1 factors
Operator Algebras
2011-11-10 v3
Abstract
We prove a Kurosh type theorem for free-product type II_1 factors. In particular, if M = LF_2 \otimes R, then the free-product type II_1 factors M*...*M are all prime and pairwise non-isomorphic. This paper is a continuation of [N. Ozawa, Solid von Neumann algebras] and [N. Ozawa and S. Popa, Some prime factorization results for type II_1 factors].
Keywords
Cite
@article{arxiv.math/0401121,
title = {A Kurosh type theorem for type II_1 factors},
author = {Narutaka Ozawa},
journal= {arXiv preprint arXiv:math/0401121},
year = {2011}
}
Comments
18 pages. Final version