REPRESENTING STRUCTURED SEMIGROUPS ON ÉTALE GROUPOID BUNDLES

DOI10.1017/S1446788722000064MaRDI QIDQ5870869

Tristan Bice

Publication date: 24 January 2023

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

Full work available at URL: https://arxiv.org/abs/2010.04961

zbMATH Keywords

bundlefilterinverse semigroupcosetWeyl/étale groupoid

Mathematics Subject Classification ID

Noncommutative topology (46L85) Groups and semigroups of linear operators (47D03) General theory of (C^*)-algebras (46L05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Semigroup rings, multiplicative semigroups of rings (20M25) Ordered semigroups and monoids (06F05) Inverse semigroups (20M18) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (2)

TWISTS, CROSSED PRODUCTS AND INVERSE SEMIGROUP COHOMOLOGY ⋮ Noncommutative Pierce duality between Steinberg rings and ample ringoid bundles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncommutative Cartan subalgebras of C*-algebras
• Étale groupoids and their quantales
• Quantum and classical pseudogroups. I: Union pseudogroups and their quantization
• A groupoid approach to discrete inverse semigroup algebras
• A groupoid approach to C*-algebras
• General non-commutative locally compact locally Hausdorff Stone duality
• Constructing minimal homeomorphisms on point-like spaces and a dynamical presentation of the Jiang-Su algebra
• A categorical duality for semilattices and lattices
• Reconstructing étale groupoids from semigroups
• An algebraic approach to the Weyl groupoid
• Hausdorff tight groupoids generalised
• A groupoid generalisation of Leavitt path algebras
• Pseudogroups and their étale groupoids.
• Topological duality and lattice expansions. I: A topological construction of canonical extensions.
• Fibrations of groupoids
• THE ÉTALE GROUPOID OF AN INVERSE SEMIGROUP AS A GROUPOID OF FILTERS
• ON AN ORDER-BASED CONSTRUCTION OF A TOPOLOGICAL GROUPOID FROM AN INVERSE SEMIGROUP
• Cartan subalgebras in C*-algebras
• On C*-Diagonals
• Fell bundles over groupoids
• Short and biased introduction to groupoids
• NON-COMMUTATIVE STONE DUALITY: INVERSE SEMIGROUPS, TOPOLOGICAL GROUPOIDS AND C*-ALGEBRAS
• Noncommutative Cartan \(\mathrm {C}^*\)-subalgebras
• Modules over commutative regular rings
• Topological representations of distributive lattices and Brouwerian logics

This page was built for publication: REPRESENTING STRUCTURED SEMIGROUPS ON ÉTALE GROUPOID BUNDLES