Topological and analytical indices in \(C^{\ast}\)-algebras

DOI10.1016/j.jfa.2005.08.012zbMath1100.47026OpenAlexW2077179941MaRDI QIDQ2491605

Yanyan Li

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.08.012

zbMATH Keywords

topological indexindicial tripleanalytical indexgeneralized Toeplitz operatorsquantized differential calculus

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Operator algebras with symbol structure (47L15)

Related Items (5)

A constructive approach to topological invariants for one-dimensional strictly local operators ⋮ Extension of the \(\nu\)-metric ⋮ Representation and index theory for Toeplitz operators ⋮ Non-vanishing functions and Toeplitz operators on tube-type domains ⋮ An index theorem for Toeplitz operators on the quarter-plane

Cites Work

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• Wiener-Hopf operators on \(U_2\)
• An index theorem for Toeplitz operators with noncommutative symbol space
• Toeplitz operators associated to unimodular algebras
• Fredholm theories in von Neumann algebras. I
• Fredholm theories in von Neumann algebras. II
• \(C^*\)-algebras of operators on a half-space. II: Index theory
• The Index Theory Associated to a Non-Finite Trace on a C*-Algebra

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