Contributions to the 𝐾-theory of 𝐶*-algebras of Toeplitz and singular integral operators

DOI10.1090/S0273-0979-1989-15756-XzbMath0713.46044MaRDI QIDQ3198368

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

Publication date: 1989

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

zbMATH Keywords

Hardy spaceHilbert transformcompressionmultiplication operators

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Integral operators (47G10)

Related Items (3)

The longitudinal cocycle and the index of Toeplitz operators ⋮ Commutator Ideals and Semicommutator Ideals of Toeplitz Algebras Associated with Flows ⋮ On the \(K\)-theory of some \(C^*\)-algebras of Toeplitz and singular integral operators

Cites Work

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• Toeplitz operators on flows
• The K-theory and the invertibility of almost periodic Toeplitz operators
• On the classification of commutator ideals
• An analogue of the Thom isomorphism for crossed products of a C* algebra by an action of R
• Connes' analogue of the Thom Isomorphism for the Kasparov groups
• The longitudinal cocycle and the index of Toeplitz operators
• Mosaics, principal functions, and mean motion in von Neumann algebras
• \(C^*\)-algebras of operators on a half-space. II: Index theory
• Connes’ analogue for crossed products of the Thom isomorphism

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