English

Free monotone transport without a trace

Operator Algebras 2015-06-17 v2

Abstract

We adapt the free monotone transport results of Guionnet and Shlyakhtenko to the type III\text{III} case. As a direct application, we obtain that the qq-deformed Araki-Woods algebras are isomorphic (for sufficiently small q|q|).

Keywords

Cite

@article{arxiv.1311.1196,
  title  = {Free monotone transport without a trace},
  author = {Brent Nelson},
  journal= {arXiv preprint arXiv:1311.1196},
  year   = {2015}
}

Comments

40 pages, final version for publication

R2 v1 2026-06-22T02:01:46.889Z