On maximal injective subalgebras of tensor products of von Neumann algebras

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dc.creatorFang, Junsheng
dc.date2006-06-26
dc.date2007-07-28
dc.date.accessioned2026-07-07T08:20:34Z
dc.date.available2026-07-07T08:20:34Z
dc.descriptionLet M_i be a von Neumann algebra, and B_i be a maximal injective von Neumann subalgebra of M_i, i=1,2. If M_1 has separable predual and the center of B_1 is atomic, e.g., B_1 is a factor, then B_1\tensor B_2 is a maximal injective von Neuamnn subalgebra of M_1\tensor M_2. This partly answers a question of Popa
dc.description15 pages, a simple proof of the main theorem (Theorem 4.1 in the new version) suggested by referee is included in the new version. Typos are corrected
dc.identifierhttps://arxiv.org/abs/math/0606648
dc.identifierhttp://arxiv.org/abs/math/0606648
dc.identifierJournal of Functional Analysis, 244 (2007), no. 1, 277--288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135107
dc.subjectOperator Algebras
dc.subject46L10
dc.titleOn maximal injective subalgebras of tensor products of von Neumann algebras
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