\(C^\ast\)-algebras of labelled spaces and their diagonal \(C^\ast\)-subalgebras

DOI10.1016/j.jmaa.2017.06.074zbMath1383.46037arXiv1605.06460OpenAlexW2964097785MaRDI QIDQ2401812

Gilles Gonçalves de Castro, Fernando de L. Mortari, Giuliano Boava

Publication date: 5 September 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06460

zbMATH Keywords

\(C^\ast\)-algebralabelled spacetight spectrum

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Inverse semigroups (20M18)

Related Items (7)

Coverages on inverse semigroups ⋮ Labelled space \(C^\ast \)-algebras as partial crossed products and a simplicity characterization ⋮ Leavitt path algebras of labelled graphs ⋮ Groupoid models for the \(C^*\)-algebra of labelled spaces ⋮ Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems ⋮ Infinite sum relations on universal \(\mathrm{C}^{\ast}\)-algebras ⋮ Boundary path groupoids of generalized Boolean dynamical systems and their \(C^{\ast}\)-algebras

Cites Work

• Unnamed Item
• On simple labelled graph \(C^{*}\)-algebras
• The structure of gauge-invariant ideals of labelled graph \(C^{\ast}\)-algebras
• Graphs, groupoids, and Cuntz-Krieger algebras
• Inverse semigroups and combinatorial \(C^*\)-algebras
• A class of C*-algebras and topological Markov chains
• Group actions on labeled graphs and their \(C^{*}\)-algebras
• The path space of a directed graph
• $C^*$-algebras of labelled graphs II - simplicity results
• Postulates for Boolean Algebras and Generalized Boolean Algebras

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