Group amenability properties for von Neumann algebras

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dc.creatorLau, Anthony T.
dc.creatorPaterson, Alan L. T.
dc.date2007-04-20
dc.date2007-05-22
dc.date.accessioned2026-07-07T08:02:27Z
dc.date.available2026-07-07T08:02:27Z
dc.descriptionIn his study of amenable unitary representations, M. E. B. Bekka asked if there is an analogue for such representations of the remarkable fixed-point property for amenable groups. In this paper, we prove such a fixed-point theorem in the more general context of a $G$-amenable von Neumann algebra $M$, where $G$ is a locally compact group acting on $M$. The Følner conditions of Connes and Bekka are extended to the case where $M$ is semifinite and admits a faithful, semifinite, normal trace which is invariant under the action of $G$.
dc.identifierhttps://arxiv.org/abs/0704.2796
dc.identifierhttp://arxiv.org/abs/0704.2796
dc.identifierIndiana University Mathematics Journal 55(2006), 1363-1388
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129235
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject22D10
dc.titleGroup amenability properties for von Neumann algebras
dc.typetext

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