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- W4289438463 abstract "We show that any free product of finite-dimensional von Neumann algebras equipped with non-tracial states is isomorphic to a free Araki-Woods factor with its free quasi-free state possibly direct sum a finite-dimensional von Neumann algebra. This gives a complete answer to questions posed by Dykema and Shlyakhtenko, which had been partially answered by work of Houdayer and work of Ueda. We also extend this to suitable infinite-dimensional von Neumann algebras with almost periodic states." @default.
- W4289438463 created "2022-08-02" @default.
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- W4289438463 date "2018-10-03" @default.
- W4289438463 modified "2023-09-28" @default.
- W4289438463 title "Free products of finite-dimensional and other von Neumann algebras in terms of free Araki-Woods factors" @default.
- W4289438463 doi "https://doi.org/10.48550/arxiv.1810.01924" @default.
- W4289438463 hasPublicationYear "2018" @default.
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