\(C^\ast\)-algebras generated by mappings

DOI10.1134/S0001434610050068zbMath1279.46039OpenAlexW2021960324MaRDI QIDQ368207

A. Yu. Kuznetsova, Suren A. Grigoryan

Publication date: 18 September 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610050068

zbMATH Keywords

Cuntz algebrainjective mapping\(C^\ast\)-algebrapartial isometryToeplitz algebra\(C^\ast\)-algebra generated by a mapping

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (11)

On a class of operator algebras generated by a family of partial isometries ⋮ \(C^\ast\)-algebras generated by mappings. Criterion of irreducibility ⋮ Some examples of extensions of \(C(\mathbb{T}) \) ⋮ A compact quantum semigroup generated by an isometry ⋮ On \(C^*\)-algebras generated by the set of probability distributions ⋮ One class of \(C^*\)-algebras generated by a family of partial isometries and multiplicators ⋮ Algebra associated with a map inducing an inverse semigroup ⋮ Operator algebras associated with multi-valued mappings ⋮ \(C^\ast\)-algebras generated by mappings. Classification of invariant subspaces ⋮ C*-Algebra Generated by Mapping Which Has Finite Orbits ⋮ The structure of invariant ideals of some subalgebras of Toeplitz algebra

Cites Work

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• Representation and index theory for \(C^*\)-algebras generated by commuting isometries
• Simple \(C^*\)-algebras generated by isometries
• On certain Cuntz-Pimsner algebras
• \(C^*\)-algebras generated by mappings
• Subalgebras of graph \(C^\ast\)-algebras
• Generalized Cuntz-Krieger algebras

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