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arXiv · 1311.1196

Free monotone transport without a trace

Brent Nelson
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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 $|q|$).

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Brent Nelson. 2014-04-07. Free monotone transport without a trace. https://doi.org/10.1007/s00220-014-2148-0

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