Identifying AF-algebras that are graph \(C^\ast\)-algebras

DOI10.1016/j.jfa.2014.01.009zbMath1296.46046arXiv1308.5014OpenAlexW2027476977MaRDI QIDQ2444483

Søren Eilers, Takeshi Katsura, Efren Ruiz, Mark Tomforde

Publication date: 9 April 2014

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

Full work available at URL: https://arxiv.org/abs/1308.5014

zbMATH Keywords

Bratteli diagramsAF-algebrasgraph \(C^\ast \)-algebrastype I \(C^\ast \)-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (3)

Identifying AF-algebras that are graph \(C^\ast\)-algebras ⋮ Semiprojectivity and properly infinite projections in graph \(C^{\ast}\)-algebras ⋮ The extension problem for graph \(C^\ast\)-algebras

Cites Work

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• Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras
• Cuntz-Krieger algebras of directed graphs
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Identifying AF-algebras that are graph \(C^\ast\)-algebras
• The ranges of 𝐾-theoretic invariants for nonsimple graph algebras
• Amplified graph C*-algebras
• C*-Algebras over Topological Spaces: The Bootstrap Class
• Viewing AF-algebras as graph algebras
• The Ordered K-theory of a Full Extension
• Inductive Limits of Finite Dimensional C ∗ -Algebras
• \(C^*\)-algebras by example

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