Coverings of Directed Graphs and Crossed Products of C*-Algebras by Coactions of Homogeneous Spaces

DOI10.1142/S0129167X03001995zbMath1049.46036arXivmath/0201033OpenAlexW2151382853MaRDI QIDQ4474441

Iain Raeburn, Klaus Deicke, David Pask

Publication date: 12 July 2004

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

Full work available at URL: https://arxiv.org/abs/math/0201033

zbMATH Keywords

directed graphcrossed productcovering spacecoactionCuntz-Krieger algebra

Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Directed graphs (digraphs), tournaments (05C20)

Related Items (7)

Free actions of groups on separated graph 𝐶*-algebras ⋮ Extension problems and non-Abelian duality for C*-algebras ⋮ Deformations of Fell bundles and twisted graph algebras ⋮ Coactions and skew products of topological graphs ⋮ Group actions on labeled graphs and their \(C^{*}\)-algebras ⋮ Coverings of \(k\)-graphs ⋮ Topological realizations and fundamental groups of higher-rank graphs

Cites Work

• Induced representations of crossed products by coactions
• Generating all graph coverings by permutation voltage assignments
• Proper actions on imprimitivity bimodules and decompositions of Morita equivalences
• Induced Coactions of Discrete Groups on C^*-Algebras
• Full and reduced C*-coactions
• Full duality for coactions of discrete groups
• SYMMETRIC IMPRIMITIVITY THEOREMS FOR GRAPH C*-ALGEBRAS
• $C^*$-algebras of directed graphs and group actions
• Generalized fixed point algebras and square-integrable group actions

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