Boundary path groupoids of generalized Boolean dynamical systems and their \(C^{\ast}\)-algebras
DOI10.1016/j.jmaa.2022.126662OpenAlexW3170443914MaRDI QIDQ2084854
Gilles Gonçalves de Castro, Eun Ji Kang
Publication date: 13 October 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.09366
inverse semigroupsgroupoidstight groupoidsboundary path groupoidsgeneralized Boolean dynamical systemstopological correspondences
Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Symbolic dynamics (37B10) Inverse semigroups (20M18)
Related Items (1)
Cites Work
- The tight groupoid of an inverse semigroup
- \(C^\ast\)-algebras associated to Boolean dynamical systems
- Graphs, groupoids, and Cuntz-Krieger algebras
- Cuntz-Krieger algebras and \(C^{*}\)-algebras of topological graphs
- Inverse semigroups and combinatorial \(C^*\)-algebras
- Cuntz-Krieger algebras of directed graphs
- Higher rank graph \(C^*\)-algebras
- Groupoid models for the \(C^*\)-algebra of labelled spaces
- Gauge-invariant ideals of \(C^\ast \)-algebras of Boolean dynamical systems
- Inverse semigroups associated with labelled spaces and their tight spectra
- \(C^\ast\)-algebras of labelled spaces and their diagonal \(C^\ast\)-subalgebras
- NON-COMMUTATIVE STONE DUALITY: INVERSE SEMIGROUPS, TOPOLOGICAL GROUPOIDS AND C*-ALGEBRAS
- A class of \boldmath{$C^*$}-algebras generalizing both graph algebras and homeomorphism \boldmath{$C^*$}-algebras I, fundamental results
- Twisted topological graph algebras are twisted groupoid$C^∗$-algebras
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