Inverse Semigroup C*-Algebras Associated with Left Cancellative Semigroups

DOI10.1017/S0013091513000540zbMath1303.46040arXiv1202.5977MaRDI QIDQ5419414

Magnus D. Norling

Publication date: 6 June 2014

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

Full work available at URL: https://arxiv.org/abs/1202.5977

zbMATH Keywords

amenability\(C^\ast\)-algebrainverse semigroupleft cancellative semigroup

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Inverse semigroups (20M18) Semilattices (06A12) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (20)

Approximation properties of \(C^{\ast}\)-algebras of cancellative semigroups ⋮ C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems ⋮ On \(K\)-theoretic invariants of semigroup \(C^*\)-algebras attached to number fields ⋮ Partial-isometric crossed products of dynamical systems by left LCM semigroups ⋮ The groupoid approach to equilibrium states on right LCM semigroup C∗$^*$‐algebras ⋮ Boundary quotient C*‐algebras of semigroups ⋮ Couniversality and controlled maps on product systems over right LCM semigroups ⋮ 𝐶*-algebras of right LCM monoids and their equilibrium states ⋮ Nuclearity of semigroup \(C^\ast\)-algebras and the connection to amenability ⋮ Nuclearity of semigroup \(C^\ast \)-algebras ⋮ Amenability and functoriality of right-LCM semigroup C*-algebras ⋮ Semigroup 𝐶*-algebras of 𝑎𝑥+𝑏-semigroups ⋮ Nica-Toeplitz algebras associated with product systems over right LCM semigroups ⋮ On finitely aligned left cancellative small categories, Zappa-Sz\'ep products and Exel-Pardo algebras ⋮ On $C^*$-algebras associated to right LCM semigroups ⋮ Nica–Toeplitz algebras associated with right-tensor C∗-precategories over right LCM semigroups ⋮ C^*-Algebras of algebraic dynamical systems and right LCM semigroups ⋮ Quotients of the Booleanization of an Inverse Semigroup ⋮ Semigroup C∗-Algebras ⋮ \(K\)-theory for semigroup \(C^*\)-algebras and partial crossed products

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverse semigroups and combinatorial \(C^*\)-algebras
• Groupoids, inverse semigroups, and their operator algebras
• The structure of 0-bisimple strongly \(E^*\)-unitary inverse monoids.
• Linear equations in non-commutative fields
• Partial representations and amenable Fell bundles over free groups
• \(C^*\)-algebras generated by commuting isometries
• \(C^*\)-algebras of Toeplitz type associated with algebraic number fields
• Conference on commutative algebra. Lawrence, Kansas 1972
• C*-Algebras of inverse semigroups
• Weak containment and Clifford semigroups
• ON A GROUPOID CONSTRUCTION FOR ACTIONS OF CERTAIN INVERSE SEMIGROUPS
• A Class of d-Simple Semigroups

This page was built for publication: Inverse Semigroup C*-Algebras Associated with Left Cancellative Semigroups