Tensor algebras of C*-correspondences and their C*-envelopes

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dc.creatorKatsoulis, Elias G.
dc.creatorKribs, David W.
dc.date2005-06-08
dc.date2005-12-28
dc.date.accessioned2026-07-07T07:40:57Z
dc.date.available2026-07-07T07:40:57Z
dc.descriptionWe show that the $\ca$-envelope of the tensor algebra of an arbitrary $\ca$-correspondence $\X$ coincides with the Cuntz-Pimsner algebra $Ø_{\X}$, as defined by Katsura \cite{Ka}. This improves earlier results of Muhly and Solel and Fowler, Muhly and Raeburn, who came to the same conclusion under the additional hypothesis that $\X$ is strict and faithful.
dc.description9 pages, final version, Journal of Functional Analysis, to appear
dc.identifierhttps://arxiv.org/abs/math/0506151
dc.identifierhttp://arxiv.org/abs/math/0506151
dc.identifierJournal of Functional Analysis 234 (2006) 226-233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121938
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.titleTensor algebras of C*-correspondences and their C*-envelopes
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