On multiplicity and free absorption for free Araki-Woods factors

Details On multiplicity and free absorption for free Araki-Woods factors On multiplicity and free absorption for free Araki-Woods factors

2003-02-18

arxiv.org/abs/math/0302217v1

Mathematics

Operator Algebras

Scientific paper

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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