Actions of semigroups on directed graphs and their \(C^*\)-algebras

DOI10.1016/S0022-4049(00)00191-2zbMath0995.46044OpenAlexW2090938156MaRDI QIDQ5939824

Trent Yeend, Iain Raeburn, David Pask

Publication date: 23 July 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00191-2

zbMATH Keywords

directed graphcrossed productCuntz-Krieger systemdilation theorygraph \(C^*\)-algebrasgraph algebraOre semigroupskew-product graphsspace of paths

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Noncommutative dynamical systems (46L55) Directed graphs (digraphs), tournaments (05C20)

Related Items (5)

FINITENESS CONDITIONS OF S-COHN–JORDAN EXTENSIONS ⋮ Skew-products of higher-rank graphs and crossed products by semigroups ⋮ Topological spaces associated to higher-rank graphs ⋮ A gauge invariant uniqueness theorem for corners of higher rank graph algebras ⋮ S-Cohn–Jordan Extensions

Cites Work

• Cuntz-Krieger algebras of directed graphs
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• \(C^*\)-algebras of transformation groups with smooth orbit space
• The \(C^*\)-algebras of row-finite graphs
• From Endomorphisms to Automorphisms and Back: Dilations and Full Corners
• $C^*$-algebras of directed graphs and group actions
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