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On multiplicity and free absorption for free Araki-Woods factors

Dimitri Shlyakhtenko
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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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Dimitri Shlyakhtenko. 2003-02-18. On multiplicity and free absorption for free Araki-Woods factors. https://arxiv.org/abs/math/0302217

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