On multiplicity and free absorption for free Araki-Woods factors

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 $\Gamma (\mu ,n)$ associated to a measure and a multiplicity function $n$ may non-trivially depend on the multiplicity function.

Cited by in corpus (1)

• Free quasi-free states and factors of type III (after D. Shlyakhtenko)