Mathematics – Operator Algebras
Scientific paper
2003-02-18
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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