Cartan subalgebras in C*-algebras

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dc.creatorRenault, Jean
dc.date2008-03-15
dc.date.accessioned2026-07-07T09:27:03Z
dc.date.available2026-07-07T09:27:03Z
dc.descriptionAccording to J. Feldman and C. Moore's well-known theorem on Cartan subalgebras, a variant of the group measure space construction gives an equivalence of categories between twisted countable standard measured equivalence relations and Cartan pairs, i.e. a von Neumann algebra (on a separable Hilbert space) together with a Cartan subalgebra. A. Kumjian gave a C*-algebraic analogue of this theorem in the early eighties. After a short survey of maximal abelian self-adjoint subalgebras in operator algebras, I present a natural definition of a Cartan subalgebra in a C*-algebra and an extension of Kumjian's theorem which covers graph algebras and some foliation algebras.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0803.2284
dc.identifierhttp://arxiv.org/abs/0803.2284
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156968
dc.subjectOperator Algebras
dc.subject37D35; 46L85
dc.titleCartan subalgebras in C*-algebras
dc.typetext

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