Unique prime factorization for infinite tensor product factors
Operator Algebras
2019-02-05 v2
Abstract
In this article, we investigate a unique prime factorization property for infinite tensor product factors. We provide several examples of type II and III factors which satisfy this property, including all free product factors with diffuse free product components. In the type III setting, this is the first classification result for infinite tensor product non-amenable factors. Our proof is based on Popa's intertwining techniques and a characterization of relative amenability on the continuous cores.
Keywords
Cite
@article{arxiv.1712.00925,
title = {Unique prime factorization for infinite tensor product factors},
author = {Yusuke Isono},
journal= {arXiv preprint arXiv:1712.00925},
year = {2019}
}
Comments
28 pages, final version, to appear in J. Funct. Anal