Moves on k-graphs preserving Morita equivalence

DOI10.4153/S0008414X21000055zbMath1498.46061arXiv2006.13441OpenAlexW3128013565MaRDI QIDQ5080872

Daniel Gent, Caleb Eckhardt, David Pask, Kit Fieldhouse, Ian Gonzales, Elizabeth Gillaspy

Publication date: 31 May 2022

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.13441

zbMATH Keywords

higher-rank graphsclassification of graph \(C^*\)-algebras

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory of (C^*)-algebras (46L05)

Related Items (2)

\(K\)-theory for real \(k\)-graph \(C^\ast\)-algebras ⋮ The stable exotic Cuntz algebras are higher-rank graph algebras

Cites Work

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• On the classification of nonsimple graph \(C^{*}\)-algebras
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• The decomposition theorem for two-dimensional shifts of finite type
• Affine buildings, tiling systems and higher rank Cuntz-Krieger algebras
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• Flow equivalence of graph algebras
• An Introduction to Symbolic Dynamics and Coding
• The classification of two-component Cuntz-Krieger algebras
• Remarks on some fundamental results about higher-rank graphs and their C*-algebras
• Classifying Polygonal Algebras by theirK₀-Group
• Geometric Classification of Graph C*-algebras over Finite Graphs

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