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Von Neumann categories and extended \(L^2\)-cohomology

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Publication:1272525
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DOI10.1023/A:1007778529430zbMath0916.18007arXivdg-ga/9610016MaRDI QIDQ1272525

Michael S. Farber

Publication date: 3 January 1999

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9610016


zbMATH Keywords

tracesextended \(L^2\)-cohomology\(L^2\)-Betti numbersNovikov-Shubin invariantsvon Neumann category


Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10)


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A Cheeger-Müller theorem for delocalized analytic torsion ⋮ Discrete Morse theory and extended \(L^2\) homology ⋮ Holomorphic $L^2$ torsion without determinant class condition ⋮ Amenability and vanishing of \(L^2\)-Betti numbers: an operator algebraic approach ⋮ L2 TORSION WITHOUT THE DETERMINANT CLASS CONDITION AND EXTENDED L2 COHOMOLOGY ⋮ The Asymptotics of the $L^2$-analytic Torsion on CR Manifolds with $S^1$ Action ⋮ Amenable covers, volume and L 2-Betti numbers of aspherical manifolds ⋮ Von Neumann Betti numbers and Novikov type inequalities



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