Correspondences, von Neumann Algebras and Holomorphic L2 Torsion

DOI10.4153/CJM-2000-030-7zbMath0982.58023arXivdg-ga/9703004OpenAlexW2076277894MaRDI QIDQ4514478

Varghese Mathai, Michael S. Farber, Alan L. Carey

Publication date: 25 March 2002

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9703004

zbMATH Keywords

von Neumann algebrasHilbert modulesalmost Kähler manifoldscorrespondenceslocal index theoremdeterminant linesholomorphic \(L^2\) torsion

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Determinants and determinant bundles, analytic torsion (58J52) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (3)

\(K\)-theory with \(\mathbb{R}/\mathbb{Z}\) coefficients and von Neumann algebras ⋮ Holomorphic $L^2$ torsion without determinant class condition ⋮ The Asymptotics of the $L^2$-analytic Torsion on CR Manifolds with $S^1$ Action

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