A class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras I, fundamental results

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dc.creatorKatsura, Takeshi
dc.date2002-07-26
dc.date2003-10-24
dc.date.accessioned2026-07-07T04:49:52Z
dc.date.available2026-07-07T04:49:52Z
dc.descriptionWe introduce a new class of C^*-algebras, which is a generalization of both graph algebras and homeomorphism C^*-algebras. This class is very large and also very tractable. We prove the so-called gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem, and compute the K-groups of our algebras.
dc.description37 pages, some terminologies changed, for example, C^*-correspondences were called Hilbert C^*-bimodules and topological graphs were called continuous graphs
dc.identifierhttps://arxiv.org/abs/math/0207252
dc.identifierhttp://arxiv.org/abs/math/0207252
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64593
dc.subjectOperator Algebras
dc.subject46L05, 46L55
dc.titleA class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras I, fundamental results
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