Functional calculus and joint torsion of pairs of almost commuting operators (Q300818)
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scientific article; zbMATH DE number 6599313
| Language | Label | Description | Also known as |
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| English | Functional calculus and joint torsion of pairs of almost commuting operators |
scientific article; zbMATH DE number 6599313 |
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Functional calculus and joint torsion of pairs of almost commuting operators (English)
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29 June 2016
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The joint torsion \(\tau(A,B)\) of Fredholm operators \(A\) and \(B\) which commute modulo trace class operators was introduced in [\textit{R. Carey} and \textit{J. Pincus}, Integral Equations Oper. Theory 35, No. 3, 271--365 (1999; Zbl 0941.47009)]. It is a determinant-type invariant. In the paper under review joint torsion of various transformations (e.g. perturbations, functions \(f(A), f(B)\) for suitable functions) of some \(A\), \(B\) was investigated and new results were obtained.
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joint torsion
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tame symbol
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functional calculus
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Toeplitz operators
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determinants in K-theory
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