English

On multiplicity and free absorption for free Araki-Woods factors

Operator Algebras 2007-05-23 v1

Abstract

We show that Ozawa's recent results on solid von Neumann algebras imply that there are free Araki-Woods factors, which fail to have free absorption. We also show that a free Araki-Woods factors Γ(μ,n)\Gamma (\mu, n) associated to a measure and a multiplicity function nn may non-trivially depend on the multiplicity function.

Keywords

Cite

@article{arxiv.math/0302217,
  title  = {On multiplicity and free absorption for free Araki-Woods factors},
  author = {Dimitri Shlyakhtenko},
  journal= {arXiv preprint arXiv:math/0302217},
  year   = {2007}
}