Finite group extensions and the Atiyah conjecture

DOI10.1090/S0894-0347-07-00561-9zbMath1127.55001arXivmath/0403229WikidataQ122936537 ScholiaQ122936537MaRDI QIDQ3594373

Thomas Schick, Peter A. Linnell

Publication date: 7 August 2007

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403229

zbMATH Keywords

\(L^{2}\)-Betti numberspro-\(p\) completionamenable quotientcohomologically \(p\)-complete

Mathematics Subject Classification ID

Group rings (16S34) Homology with local coefficients, equivariant cohomology (55N25)

Related Items

On homotopy braids, \(L^2\)-Betti numbers arising from the lamplighter group, COHOMOLOGY AND PROFINITE TOPOLOGIES FOR SOLVABLE GROUPS OF FINITE RANK, Localization, Whitehead groups and the Atiyah conjecture, Thurston norm via Fox calculus, The base change in the Atiyah and the Lück approximation conjectures, The strong Atiyah conjecture for right-angled Artin and Coxeter groups., Hodge theory on metric spaces. Appendix by Anthony W. Baker, Galois cohomology of completed link groups, On Turing dynamical systems and the Atiyah problem, Finite group extensions and the Baum-Connes conjecture, On the center-valued Atiyah conjecture for \(L^2\)-Betti numbers, The strong Atiyah conjecture for virtually cocompact special groups, Quasirationality and prounipotent crossed modules, $3$-Manifold Groups are Virtually Residually $p$, Groups with the same cohomology as their pro-\(p\) completions.

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