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Approximating \(\ell_2\)-Betti numbers of an amenable covering by ordinary Betti numbers

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Publication:1284463
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DOI10.1007/s000140050081zbMath0946.57029OpenAlexW2095493290MaRDI QIDQ1284463

Beno Eckmann

Publication date: 19 October 2000

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000140050081


zbMATH Keywords

covering spacesamenable groups\(l_2\)-homology


Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Characteristic classes and numbers in differential topology (57R20) Homology and cohomology theories in algebraic topology (55N99)


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Approximating spectral invariants of Harper operators on graphs II ⋮ Amenability and vanishing of \(L^2\)-Betti numbers: an operator algebraic approach ⋮ A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states ⋮ RANDOM COMPLEXES AND ℓ2-BETTI NUMBERS ⋮ Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence ⋮ Approximation of the integrated density of states on sofic groups




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