A class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras III, ideal structures

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dc.creatorKatsura, Takeshi
dc.date2004-08-14
dc.date2006-03-25
dc.date.accessioned2026-07-07T06:38:43Z
dc.date.available2026-07-07T06:38:43Z
dc.descriptionWe investigate the ideal structures of the C^*-algebras arising from topological graphs. We give the complete description of ideals of such C^*-algebras which are invariant under the so-called gauge action, and give the condition on topological graphs so that all ideals are invariant under the gauge action. We get conditions for our C^*-algebras to be simple, prime or primitive. We completely determine the prime ideals, and show that most of them are primitive. Finally, we construct a discrete graph such that the associated C^*-algebra is prime but not primitive.
dc.description47 pages, typos corrected, Sections 11 and 12 Changed
dc.identifierhttps://arxiv.org/abs/math/0408190
dc.identifierhttp://arxiv.org/abs/math/0408190
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100836
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.subjectPrimary 46L05; Secondary 46L55, 37B99
dc.titleA class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras III, ideal structures
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