C*-envelopes of tensor algebras for multivariable dynamics

dc.creatorDavidson, K. R.
dc.creatorRoydor, J.
dc.date2008-11-29
dc.date.accessioned2026-07-07T12:08:09Z
dc.date.available2026-07-07T12:08:09Z
dc.descriptionWe give a new very concrete description of the C*-envelope of the tensor algebra associated to multivariable dynamical system. In the surjective case, this C*-envelope is described as a crossed product by an endomorphism, and as a groupoid C*-algebra. In the non-surjective case, it is a full corner of a such an algebra. We also show that when the space is compact, then the C*-envelope is simple if and only if the system is minimal.
dc.description21 pages, submitted to Proceedings of the Edinburgh Mathematical Society
dc.identifierhttps://arxiv.org/abs/0812.0096
dc.identifierhttp://arxiv.org/abs/0812.0096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209219
dc.subjectOperator Algebras
dc.subject47L55, 47L40, 46L05, 37B20, 37B99
dc.titleC*-envelopes of tensor algebras for multivariable dynamics
dc.typetext

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