The C*-algebras of some inverse semigroups

DOI10.1017/S0004972700028483zbMath0716.46052MaRDI QIDQ3203567

Rachel Hancock, Iain Raeburn

Publication date: 1990

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

zbMATH Keywords

bicyclic semigroupassociated \(C^ *\)-algebrasC\({}^ *\)-algebra of Cuntz and Kriegerfree monogenic inverse semigroupstructure of some inverse semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) General theory of (C^*)-algebras (46L05)

Related Items (4)

The Realization Problem for some wild monoids and the Atiyah Problem ⋮ Dynamical systems associated to separated graphs, graph algebras, and paradoxical decompositions ⋮ On certain inverse semigroups associated with one-sided topological Markov shifts ⋮ Structure theorems for star-commuting power partial isometries

Cites Work

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• A class of C*-algebras and topological Markov chains
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• Simple \(C^*\)-algebras generated by isometries
• Monogenic inverse semigroups and their C* -algebras
• C*-Algebras of inverse semigroups
• The Crossed Product of a C ∗ -Algebra by an Endomorphism
• The Left Regular ∗ -Representation of an Inverse Semigroup
• Free inverse semigroups are not finitely presentable
• Weak containment and Clifford semigroups
• The 𝐶*-algebra generated by an isometry

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