On the \(K\)-theory of some \(C^*\)-algebras of Toeplitz and singular integral operators

DOI10.1016/0022-1236(92)90046-LzbMath0787.46056OpenAlexW2016179500MaRDI QIDQ1803334

Jingbo Xia, Paul S. Muhly, Ian F. Putnam

Publication date: 29 June 1993

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90046-l

zbMATH Keywords

singular integral operators\(C^*\)-algebrasToeplitz operatorsshort exact sequenceorder isomorphism\(C^*\)- representationsalgebra of analytic functions on the flowCoburn's theoremShilov representationsstrictly ergodic flow

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38)

Related Items (5)

Extended rotation algebras: Adjoining spectral projections to rotation algebras ⋮ Commutator ideals and semicommutator ideals of Toeplitz operators associated with flows II ⋮ The Spectra of Random Pseudo-Differential Operators ⋮ Toeplitz operators on \(H ^{2}(i\mathbb R)\) ⋮ Crossed products on the flow of groupoid with quasi-invariant measures

Cites Work

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• The 𝐶*-algebra generated by an isometry
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