Free products of finite-dimensional and other von Neumann algebras in terms of free Araki-Woods factors

Autor:	Hartglass, Michael, Nelson, Brent
Rok vydání:	2018
Předmět:	Mathematics - Operator Algebras 46L54
Druh dokumentu:	Working Paper
Popis:	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. Comment: 48 pages, revised for publication
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.01924 Zobrazit plný text záznamu View this record from Arxiv