When is the Cuntz-Krieger algebra of a higher-rank graph approximately finite-dimensional?

DOI10.1016/j.jfa.2012.03.024zbMath1252.46060arXiv1112.4549OpenAlexW1549219774MaRDI QIDQ435862

Aidan Sims, D. Gwion Evans

Publication date: 12 July 2012

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

Full work available at URL: https://arxiv.org/abs/1112.4549

zbMATH Keywords

higher-rank graph\(C^{*}\)-algebraCuntz-Krieger algebraAF algebragraph \(C^{*}\)-algebra

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35)

Related Items (15)

AF 𝐶*-algebras from non-AF groupoids ⋮ AF-embeddability of 2-graph algebras and quasidiagonality of \(k\)-graph algebras ⋮ Groupoids and $C^*$-algebras for categories of paths ⋮ Complex Kumjian-Pask algebras. ⋮ Purely infinite simple Kumjian-Pask algebras ⋮ Irreducibility and monicity for representations of \(k\)-graph \(C^*\)-algebras ⋮ \(C^{\star}\)-algebras of higher-rank graphs from groups acting on buildings, and explicit computation of their \(K\)-theory ⋮ Non-simple purely infinite Steinberg algebras with applications to Kumjian-Pask algebras ⋮ AF labeled graph \(C^\ast\)-algebras ⋮ A generalized Cuntz-Krieger uniqueness theorem for higher-rank graphs ⋮ Cuntz-Pimsner algebras, crossed products, and \(K\)-theory ⋮ Cycline subalgebras of 𝑘-graph C*-algebras ⋮ Continuous-trace \(k\)-graph \(C^*\)-algebras ⋮ Dense subalgebras of purely infinite simple groupoidC*-algebras ⋮ Isomorphism of the cubical and categorical cohomology groups of a higher-rank graph

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