Simplicity of algebras associated to étale groupoids
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Publication:2247992
DOI10.1007/s00233-013-9546-zzbMath1304.46046arXiv1204.3127OpenAlexW2039534845WikidataQ123777470 ScholiaQ123777470MaRDI QIDQ2247992
Lisa Orloff Clark, Aidan Sims, Jonathan H. Brown, Cynthia Farthing
Publication date: 30 June 2014
Published in: Semigroup Forum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.3127
General theory of (C^*)-algebras (46L05) Topological groupoids (including differentiable and Lie groupoids) (22A22)
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Cites Work
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- Higher-rank graph \(C^*\)-algebras: an inverse semigroup and groupoid approach
- On the Exel crossed product of topological covering maps
- Semi-étale groupoids and applications
- A groupoid approach to discrete inverse semigroup algebras
- Cuntz-Krieger algebras of directed graphs
- A groupoid approach to C*-algebras
- Simplicity of the \(C^*\)-algebra associated with the free group on two generators
- Groupoids, inverse semigroups, and their operator algebras
- Higher rank graph \(C^*\)-algebras
- A groupoid generalisation of Leavitt path algebras
- The Leavitt path algebra of a graph.
- Kumjian-Pask algebras of higher-rank graphs
- Non-Hausdorff étale groupoids
- A new look at the crossed product of aC*-algebra by a semigroup of endomorphisms
- Groupoid Methods in Wavelet Analysis
- Cartan subalgebras in C*-algebras
- Topologically free actions and ideals in discrete C*-dynamical systems
- Purely infinite $C^*$-algebras arising from dynamical systems
- From Endomorphisms to Automorphisms and Back: Dilations and Full Corners
- Continuous-trace groupoid 𝐶*-algebras. III
- Groupoids Associated with Endomorphisms
- Examples of masas in C*-algebras
- Simplicity of C*-algebras associated to higher-rank graphs
- Semigroups of local homeomorphisms and interaction groups
- C*-Algebras of Irreversible Dynamical Systems
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