C*-Algebras of inverse semigroups

DOI10.1017/S0013091500003187zbMath0551.46045MaRDI QIDQ3344721

Alan L. T. Paterson, John Duncan

Publication date: 1985

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

zbMATH Keywords

crossed productshort exact sequenceinverse semigroupamenableBruck-Reilly extensionweak containmentleft regular representationreduced \(C^ *\)-algebrabicyclic inverse semigroupenveloping \(C^ *\)-algebragroup \(C^ *\)-algebrasuntwisting

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Group algebras of locally compact groups (22D15)

Related Items (15)

Interplay of Simple and Selfadjoint-ideal semigroups in B(H) ⋮ The C*-algebras of some inverse semigroups ⋮ The uniform Roe algebra of an inverse semigroup ⋮ A generalization of the \(n\)-weak module amenability of Banach algebras ⋮ The tiling \(C^*\)-algebra viewed as a tight inverse semigroup algebra ⋮ Amenable actions of inverse semigroups ⋮ Semigroups of partial isometries ⋮ Inverse Semigroup C*-Algebras Associated with Left Cancellative Semigroups ⋮ On selfadjoint extensions of semigroups of partial isometries ⋮ C*-algebras of Clifford semigroups ⋮ Obstructions for semigroups of partial isometries to be self-adjoint ⋮ On certain inverse semigroups associated with one-sided topological Markov shifts ⋮ Restricted algebras on inverse semigroups I, representation theory ⋮ Finite approximation properties of \(C^\ast\)-modules ⋮ Dynamical systems of type and their -algebras

Cites Work

• Unnamed Item
• The Left Regular ∗ -Representation of an Inverse Semigroup
• Representations of the l 1 -Algebra of an Inverse Semigroup
• Amenability of inverse semigroups and their semigroup algebras
• Weak containment and Clifford semigroups

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