Ideal structure of $C^*$-algebras associated with $C^*$-correspondences

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dc.creatorKatsura, Takeshi
dc.date2003-09-18
dc.date2003-10-02
dc.date.accessioned2026-07-07T05:01:14Z
dc.date.available2026-07-07T05:01:14Z
dc.descriptionWe study the ideal structure of $C^*$-algebras arising from $C^*$-correspondences. We prove that gauge-invariant ideals of our $C^*$-algebras are parameterized by certain pairs of ideals of original $C^*$-algebras. We show that our $C^*$-algebras have a nice property which should be possessed by generalization of crossed products. Applications to crossed products by Hilbert $C^*$-bimodules and relative Cuntz-Pimsner algebras are also discussed.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0309294
dc.identifierhttp://arxiv.org/abs/math/0309294
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68603
dc.subjectOperator Algebras
dc.subject46L05, 46L55
dc.titleIdeal structure of $C^*$-algebras associated with $C^*$-correspondences
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