Some continuous index theorems

DOI10.1007/BF01195870zbMath0561.47026OpenAlexW101384958MaRDI QIDQ2266430

Herbert Schröder

Publication date: 1984

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195870

zbMATH Keywords

Fredholm operatorindexwinding numberToeplitz operatorsintegral formula\(W^*\)-algebra factorstable homotopy class of the symbol mapsymbol maps from products of odd spheres

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53)

Related Items (1)

K-theory of Toeplitz \(C^*\)-algebras on Lie spheres

Cites Work

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• Wiener-Hopf operators on \(U_2\)
• Toeplitz operators for uniform algebras
• Representation and index theory for \(C^*\)-algebras generated by commuting isometries
• On the index of Toeplitz operators of several complex variables
• Theory of Fredholm operators and vector bundles relative to a von Neumann algebra
• Homotopy theory of infinite dimensional manifolds
• Fredholm theories in von Neumann algebras. I
• Fredholm operators associated with strongly pseudoconvex domains in \(C^n\)
• An index theorem for Wiener-Hopf operators on the discrete quarter-plane

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