A Cuntz-Krieger uniqueness theorem for semigraph \(C^\ast\)-algebras

DOI10.15352/bjma/1342210159zbMath1260.46035arXiv1111.4166OpenAlexW2021151759MaRDI QIDQ437721

Bernhard Burgstaller

Publication date: 18 July 2012

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4166

zbMATH Keywords

Cuntz-Krieger uniqueness theoremExel-Laca algebrahigher rank graph \(C^\ast\)algebrasemigraph \(C^\ast\)-algebraultragraph \(C^\ast\)-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semigroupoid \(C^{*}\)-algebras
• Graphs, groupoids, and Cuntz-Krieger algebras
• A class of C*-algebras and topological Markov chains
• Simple \(C^*\)-algebras generated by isometries
• The \(C^*\)-algebras of finitely aligned higher-rank graphs
• Higher rank graph \(C^*\)-algebras
• On certain properties of Cuntz-Krieger-type algebras
• Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence
• Aperiodicity and cofinality for finitely aligned higher-rank graphs
• Cuntz-Krieger algebras for infinite matrices
• Relative Cuntz-Krieger algebras of finitely aligned higher-rank graphs

This page was built for publication: A Cuntz-Krieger uniqueness theorem for semigraph \(C^\ast\)-algebras