THE K-THEORY OF THE -ALGEBRAS OF 2-RANK GRAPHS ASSOCIATED TO COMPLETE BIPARTITE GRAPHS

DOI10.1017/S1446788721000161zbMath1497.19002arXiv2004.11602OpenAlexW3209883237MaRDI QIDQ5089896

Sam A. Mutter

Publication date: 15 July 2022

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11602

zbMATH Keywords

\(K\)-theoryhigher rank graph \(C^*\)-algebra\(2\)-rank graphtile complex

Mathematics Subject Classification ID

(K)-theory and operator algebras (19K99) Group actions on manifolds and cell complexes in low dimensions (57M60) Miscellaneous applications of (K)-theory (19M05) Classifications of (C^*)-algebras (46L35)

Related Items (1)

\(C^{\star}\)-algebras of higher-rank graphs from groups acting on buildings, and explicit computation of their \(K\)-theory

Cites Work

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• Groups acting on products of trees, tiling systems and analytic \(K\)-theory
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• Maximal torsion-free subgroups of certain lattices of hyperbolic buildings and Davis complexes
• Combinatorial structure of some hyperbolic buildings
• Higher rank graph \(C^*\)-algebras
• A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
• On the \(K\)-theory of higher rank graph \(C^*\)-algebras
• Gauge-Invariant Ideals in theC*-Algebras of Finitely Aligned Higher-Rank Graphs
• Affine buildings, tiling systems and higher rank Cuntz-Krieger algebras
• HIGHER-RANK GRAPHS AND THEIR $C^*$-ALGEBRAS
• Classifying Polygonal Algebras by theirK₀-Group
• Lattices in product of trees

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