On multiplicity and free absorption for free Araki-Woods factors
classification
🧮 math.OA
keywords
freearaki-woodsfactorsmultiplicityabsorptionfunctionalgebrasassociated
read the original 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.
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