Approximating \(L^2\) invariants of amenable covering spaces: A combinatorial approach

DOI10.1006/jfan.1997.3205zbMath0936.57018arXivdg-ga/9609003OpenAlexW1976583179MaRDI QIDQ1268770

Varghese Mathai, Józef Dodziuk

Publication date: 6 January 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9609003

zbMATH Keywords

determinantvon Neumann algebrasamenable groupsapproximation theorems\(L^2\)-Betti numbers

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) PL-topology (57Q99)

Related Items

Arithmetic properties of eigenvalues of generalized Harper operators on graphs, A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states, $L^2$-determinant class and approximation of $L^2$-Betti numbers, On the homotopy invariance of 𝐿² torsion for covering spaces, Spectral density and Sobolev inequalities for pure and mixed states, A \(C^*\)-algebra of geometric operators on self-similar CW-complexes. Novikov-Shubin and \(L^2\)-Betti numbers, Groupoids, von Neumann algebras and the integrated density of states, The strong Atiyah and Lück approximation conjectures for one-relator groups, RANDOM COMPLEXES AND ℓ²-BETTI NUMBERS, Introduction to \(\ell_2\)-methods in topology: Reduced \(\ell_2\)-homology, harmonic chains, \(\ell_2\)-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, Entropy, determinants, and $L^2$-torsion, Amenable groups, topological entropy and Betti numbers, Approximating spectral invariants of Harper operators on graphs

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