The ideal structure of reduced crossed products

dc.creatorSierakowski, Adam
dc.date2008-04-23
dc.date2009-03-16
dc.date.accessioned2026-07-07T12:52:12Z
dc.date.available2026-07-07T12:52:12Z
dc.descriptionLet (A,G) be a C*-dynamical system with G discrete. In this paper we investigate the ideal structure of the reduced crossed product C*-algebra and in particular we determine sufficient - and in some cases also necessary - conditions for A to separate the ideals in Ax_rG. When A separates the ideals in Ax_rG, then there is a one-to-one correspondence between the ideals in Ax_rG and the invariant ideals in A. We extend the concept of topological freeness and present a generalization of the Rokhlin property. Exactness properties of (A,G) turns out to be crucial in these investigations.
dc.description23 pages, relation to properly outer actions added, accepted in Muenster J. Math
dc.identifierhttps://arxiv.org/abs/0804.3772
dc.identifierhttp://arxiv.org/abs/0804.3772
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223224
dc.subjectOperator Algebras
dc.subject46L55 (Primary)
dc.titleThe ideal structure of reduced crossed products
dc.typetext

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