The bicategory of groupoid correspondences

MaRDI QIDQ2090591

Yanyan Li

Publication date: 25 October 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.10869

zbMATH Keywords

étale groupoidproduct systembicategoryhigher-rank graphself-similar groupgroupoid C*-algebraConduché fibrationgroupoid correspondence

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Topological groupoids (including differentiable and Lie groupoids) (22A22) 2-categories, bicategories, double categories (18N10)

Cites Work

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• Representations of \(^\ast\)-algebras by unbounded operators: C\(^\ast\)-hulls, local-global principle, and induction
• Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs
• Higher rank graph \(C^*\)-algebras
• On \(C^*\)-algebras of irreversible algebraic dynamical systems
• Groupoids in categories with pretopology
• C*-algebras and self-similar groups
• Self-similark-Graph C*-Algebras
• Combinatorial models of expanding dynamical systems

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