The structure of gauge-invariant ideals of labelled graph \(C^{\ast}\)-algebras

DOI10.1016/j.jfa.2011.11.022zbMath1247.46042arXiv1102.4161OpenAlexW2963622665MaRDI QIDQ665497

Sun Ho Kim, Gi Hyun Park, Ja A. Jeong

Publication date: 5 March 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4161

zbMATH Keywords

gauge-invariant ideallabelled graph \(C^{\ast}\)-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (13)

The simplicity of the \(C^\ast\)-algebras associated to arbitrary labeled spaces ⋮ Finite simple labeled graph \(C^\ast\)-algebras of Cantor minimal subshifts ⋮ CONDITION (K) FOR BOOLEAN DYNAMICAL SYSTEMS ⋮ \(C^\ast\)-algebras of labelled spaces and their diagonal \(C^\ast\)-subalgebras ⋮ On labeled graph \(C^*\)-algebras ⋮ Labelled space \(C^\ast \)-algebras as partial crossed products and a simplicity characterization ⋮ Simple labeled graph \(C^{\ast}\)-algebras are associated to disagreeable labeled spaces ⋮ Group actions on labeled graphs and their \(C^{*}\)-algebras ⋮ AF labeled graph \(C^\ast\)-algebras ⋮ \(C^\ast\)-algebras associated to Boolean dynamical systems ⋮ Purely infinite labeled graph -algebras ⋮ Primitive ideals and pure infiniteness of ultragraph $C^*$-algebras ⋮ Gauge-invariant ideals of \(C^\ast \)-algebras of Boolean dynamical systems

Cites Work

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• Graphs, groupoids, and Cuntz-Krieger algebras
• Cuntz-Krieger algebras of directed graphs
• The ideal structure of the \(C^*\)-algebras of infinite graphs
• The \(C^*\)-algebras of row-finite graphs
• $C^*$-algebras of labelled graphs II - simplicity results
• Simplicity of ultragraph algebras
• Ultragraph C^*-algebras via topological quivers
• Cuntz-Krieger algebras for infinite matrices
• On C*-Algebras Associated with Subshifts
• Some remarks on the $C^*$-algebras associated with subshifts
• A class of \boldmath{$C^*$}-algebras generalizing both graph algebras and homeomorphism \boldmath{$C^*$}-algebras I, fundamental results
• Faithful Representations of Crossed Products by Endomorphisms
• TOPOLOGICAL QUIVERS

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