On inverse semigroup \(C^*\)-algebras and crossed products

DOI10.4171/GGD/236zbMath1308.46062arXiv1104.2304MaRDI QIDQ399427

David Milan, Benjamin Steinberg

Publication date: 19 August 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2304

zbMATH Keywords

crossed productsinverse semigroupsétale groupoidspartial actions

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Inverse semigroups (20M18)

Related Items (14)

Inverse semigroups associated to subshifts ⋮ The uniform Roe algebra of an inverse semigroup ⋮ On the structure of lower bounded HNN extensions ⋮ Partial generalized crossed products and a seven term exact sequence ⋮ A groupoid approach to regular \(\ast \)-semigroups ⋮ UNDECIDABILITY AND THE DEVELOPABILITY OF PERMUTOIDS AND RIGID PSEUDOGROUPS ⋮ Some remarks on the inverse semigroup associated to the Cuntz-Li algebras ⋮ Condition (K) for inverse semigroups and the ideal structure of their \(C^{\ast}\)-algebras ⋮ Partial actions and subshifts ⋮ Recent developments around partial actions ⋮ Two-sided expansions of monoids ⋮ The dynamics of partial inverse semigroup actions ⋮ F-inverse monoids as algebraic structures in enriched signature ⋮ \(K\)-theory for semigroup \(C^*\)-algebras and partial crossed products

Cites Work

• Inverse semigroups and combinatorial \(C^*\)-algebras
• A groupoid approach to C*-algebras
• Groupoids, inverse semigroups, and their operator algebras
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• Enveloping actions and Takai duality for partial actions.
• \(K\)-theory for partial crossed products by discrete groups
• Tiling semigroups
• Renault's Equivalence Theorem for Groupoid Crossed Products
• ON AN ORDER-BASED CONSTRUCTION OF A TOPOLOGICAL GROUPOID FROM AN INVERSE SEMIGROUP
• Partial dynamical systems and C*-algebras generated by partial isometries
• On partial actions and groupoids
• PARTIAL ACTIONS OF GROUPS
• The Structure of 0-E-unitary inverse semigroups I: the monoid case
• Regular representation of groupoid C* -algebras and applications to inverse semigroups
• Expansions of inverse semigroups
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