On multiplicity and free absorption for free Araki-Woods factors
Dimitri Shlyakhtenko
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) associated to a measure and a multiplicity function n may non-trivially depend on the multiplicity function.
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