Free monotone transport without a trace

Abstract

We adapt the free monotone transport results of Guionnet and Shlyakhtenko to the type $\text{III}$ case. As a direct application, we obtain that the $q$-deformed Araki-Woods algebras are isomorphic (for sufficiently small $|q|$).

40 pages, final version for publication

References in corpus (1)

• Combinatorial aspects of matrix models

Cited by in corpus (12)

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