The longitudinal cocycle and the index of Toeplitz operators

DOI10.1016/0022-1236(91)90151-TzbMath0760.47009MaRDI QIDQ1177892

Ronald G. Douglas, Jerome Kaminker, Steven E. Hurder

Publication date: 26 June 1992

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

zbMATH Keywords

leafwise elliptic operator on a foliated manifoldToeplitz opertor with invertible symboltopological formula for the index

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items

Cyclic cocycles, renormalization and eta-invariants ⋮ Contributions to the 𝐾-theory of 𝐶*-algebras of Toeplitz and singular integral operators ⋮ Eigenpairs of Toeplitz and disordered Toeplitz matrices with a Fisher-Hartwig symbol ⋮ Classification of \(C^*\)-algebras of real rank zero and unsuspended \(E\)-equivalence types ⋮ Noncommutative geometry of foliations ⋮ Eta-invariants and von Neumann algebras ⋮ On the \(K\)-theory of some \(C^*\)-algebras of Toeplitz and singular integral operators ⋮ A boundedness criterion for singular integral operators of convolution type on the Fock space

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