A transformation rule for the index of commuting operators

DOI10.4171/JNCG/188zbMath1334.47027arXiv1208.1862OpenAlexW2962688743MaRDI QIDQ2345694

Jens Kaad, Ryszard Nest

Publication date: 22 May 2015

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.1862

zbMATH Keywords

multiplicityKoszul complexcommuting operatorslocalizationindex theoryholomorphic functional calculus

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53) Tensor products of linear operators (47A80)

Related Items (2)

Functional calculus and joint torsion of pairs of almost commuting operators ⋮ Tate tame symbol and the joint torsion of commuting operators

Cites Work

• Joint torsion of several commuting operators
• Toeplitz operators on pseudoconvex domains and foliation \(C^*\)- algebras
• Base change and the Fredholm index
• Joint essential spectrum of a family of linear operators
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
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• The Fredholm index of a pair of commuting operators
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
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