Trace formulas for almost commuting operators, cyclic cohomology and subnormal operators

DOI10.1007/BF01199909zbMath0754.47019MaRDI QIDQ1175036

Daoxing Xiao

Publication date: 25 June 1992

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

zbMATH Keywords

cyclic cohomologysimple positive eigenvaluetrace of the products of commutatorsunitary invariant theorem for irreducible pure subnormal operators with minimal normal extension

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) (Semi-) Fredholm operators; index theories (47A53)

Related Items

Chern characters associated with almost commuting algebras, Generalized cyclic cohomology associated with deformed commutators, Complete unitary invariant for some subnormal operator, A Note on the Trace Formulas for Almost Commuting Operators, Traces of Commutators of Integral Operators – the Aftermath, Trace formulas for a class of subnormal tuples of operators

Cites Work

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• Non-commutative differential geometry
• Analytic theory of subnormal operators
• Cyclic cohomology associated with difference operators and anticommutators
• The analytic model of a subnormal operator
• Principal functions, index theory, geometric measure theory and function algebras
• Traces of commutators of integral operators
• Mosaics, principal functions, and mean motion in von Neumann algebras
• Extensions of \(C^*\)-algebras and \(K\)-homology
• A note on the cyclic cohomology and K-theory associated with difference operators