CO-UNIVERSAL C*-ALGEBRAS ASSOCIATED TO APERIODIC k-GRAPHS

DOI10.1017/S001708951300044XzbMath1310.46049arXiv1108.3674OpenAlexW2962711757MaRDI QIDQ2921057

Sooran Kang, Aidan Sims

Publication date: 30 September 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3674

zbMATH Keywords

representationToeplitz algebraCuntz-Krieger algebrafinitely aligned aperiodic \(k\)-graph

Mathematics Subject Classification ID

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

Cites Work

• Graphs, groupoids, and Cuntz-Krieger algebras
• Higher-rank graph \(C^*\)-algebras: an inverse semigroup and groupoid approach
• Ideal structure of \(C^*\)-algebras associated with \(C^*\)-correspondences
• Cuntz-Krieger algebras of directed graphs
• Simple \(C^*\)-algebras generated by isometries
• The primitive ideal space of the \(C^*\)-algebra of infinite graphs
• The \(C^*\)-algebras of finitely aligned higher-rank graphs
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Product systems over right-angled Artin semigroups
• Aperiodicity and cofinality for finitely aligned higher-rank graphs
• A class of \boldmath{$C^*$}-algebras generalizing both graph algebras and homeomorphism \boldmath{$C^*$}-algebras I, fundamental results
• Simplicity of C*-algebras associated to higher-rank graphs
• Relative Cuntz-Krieger algebras of finitely aligned higher-rank graphs
• A class of ${C^*}$-algebras generalizing both graph algebras and homeomorphism ${C^*}$-algebras III, ideal structures

This page was built for publication: CO-UNIVERSAL C*-ALGEBRAS ASSOCIATED TO APERIODIC k-GRAPHS