A correspondence between inverse subsemigroups, open wide subgroupoids and cartan intermediate C*-subalgebras

DOI10.1017/S0013091522000402MaRDI QIDQ5043301

Fuyuta Komura

Publication date: 21 October 2022

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11456

zbMATH Keywords

inverse semigroupsétale groupoids\(C^\ast\)-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Inverse semigroups (20M18)

Cites Work

• Unnamed Item
• The tight groupoid of an inverse semigroup
• Inverse semigroups and combinatorial \(C^*\)-algebras
• A groupoid approach to discrete inverse semigroup algebras
• A groupoid approach to C*-algebras
• Cartan subalgebras in C*-algebras
• Étale groupoids as germ groupoids and their base extensions
• The Polycyclic MonoidsP_nand the Thompson GroupsV_n,1
• Intermediate C*-algebras of Cartan embeddings
• Compactable semilattices

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