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arXiv:math/0302217 [math.OA]AbstractReferencesReviewsResources

On multiplicity and free absorption for free Araki-Woods factors

Dimitri Shlyakhtenko

Published 2003-02-18Version 1

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.

Categories: math.OA
Subjects: 46L54
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Solid von Neumann Algebras

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