A cohomological characterization of approximately finite dimensional von Neumann algebras

dc.creatorChristensen, Erik
dc.creatorSinclair, Allan M.
dc.date1997-01-24
dc.date.accessioned2026-07-07T09:13:42Z
dc.date.available2026-07-07T09:13:42Z
dc.descriptionFor a von Neumann algebra M on a Hilbert space, A. Connes has constructed a module S and a derivation of M into S, such that M is approximately finite dimensional if and only if that derivation is inner. The paper contains a generalization of this result to the situation with a 2-cocycle instead. The cocycle is the obvious generalization, and the module is closely related to Connes, but isn't a dual module.
dc.descriptionamstex, 6 pages, to be published in the proceedings of the conference `Operator Algebras and Quantum Field Theory` held at Accademia Nazionale dei Lincei, Rome, Italy, July 1996
dc.identifierhttps://arxiv.org/abs/funct-an/9701010
dc.identifierhttp://arxiv.org/abs/funct-an/9701010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152418
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.titleA cohomological characterization of approximately finite dimensional von Neumann algebras
dc.typetext

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