English

A free product pair rigidity result in von Neumann algebras

Operator Algebras 2020-09-14 v2

Abstract

We prove that the free product pair of any finitely many copies of the unique amenable type III1_1 factor endowed with weakly mixing states remembers the number of free components and the given states.

Keywords

Cite

@article{arxiv.1610.01842,
  title  = {A free product pair rigidity result in von Neumann algebras},
  author = {Yoshimichi Ueda},
  journal= {arXiv preprint arXiv:1610.01842},
  year   = {2020}
}

Comments

15 pages; to appear in JNCG