Gauge-invariant ideals in the C*-algebras of finitely aligned higher-rank graphs

dc.creatorSims, Aidan
dc.date2004-06-29
dc.date2004-08-16
dc.date.accessioned2026-07-07T05:09:48Z
dc.date.available2026-07-07T05:09:48Z
dc.descriptionWe produce a complete descrption of the lattice of gauge-invariant ideals in $C^*(Λ)$ for a finitely aligned $k$-graph $Λ$. We provide a condition on $Λ$ under which every ideal is gauge-invariant. We give conditions on $Λ$ under which $C^*(Λ)$ satisfies the hypotheses of the Kirchberg-Phillips classification theorem.
dc.description19 pages. Additional references added in Section 8. Title of Section 6 changed from "The lattice structure" to "The lattice order"
dc.identifierhttps://arxiv.org/abs/math/0406592
dc.identifierhttp://arxiv.org/abs/math/0406592
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71719
dc.subjectOperator Algebras
dc.subject46L05
dc.titleGauge-invariant ideals in the C*-algebras of finitely aligned higher-rank graphs
dc.typetext

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