\(L^ 2\)-analytic torsion functions for semifinite von Neumann algebras

DOI10.1007/BF01197535zbMath0836.47005OpenAlexW2038464214WikidataQ125774316 ScholiaQ125774316MaRDI QIDQ1900674

Donggeng Gong

Publication date: 1 November 1995

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

Full work available at URL: https://doi.org/10.1007/bf01197535

zbMATH Keywords

determinant\(L^ 2\)-analytic functions\(n\)-tuples of commuting elements in a semifinite von Neumann algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Determinants and determinant bundles, analytic torsion (58J52)

Cites Work

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• Determinants of Laplace-like operators on Riemann surfaces
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• Functional determinants and geometry
• Determinants of Laplacians
• Spectral functions, special functions and the Selberg zeta function
• Reidemeister torsion and the \(K\)-theory of von Neumann algebras
• \(L^ 2\)-analytic torsion
• Heat kernels on covering spaces and topological invariants
• \(R\)-torsion and zeta functions for locally symmetric manifolds
• Generalized s-numbers of \(\tau\)-measurable operators
• R-torsion and the Laplacian on Riemannian manifolds
• Determinant theory in finite factors

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