The Atiyah conjecture and Artinian rings.

DOI10.4310/PAMQ.2012.v8.n2.a1zbMath1259.16025arXiv0711.3328WikidataQ123230740 ScholiaQ123230740MaRDI QIDQ448496

Thomas Schick, Peter A. Linnell

Publication date: 6 September 2012

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3328

zbMATH Keywords

orders of finite subgroupscomplex group algebrasalgebras of unbounded operatorsAtiyah conjecturedivision closuregroup von Neumann algebrasmatrix rings over skew fields

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (9)

\(L^2\)-Betti numbers arising from the lamplighter group ⋮ The Hanna Neumann conjecture for surface groups ⋮ Approximating the group algebra of the lamplighter by infinite matrix products ⋮ The base change in the Atiyah and the Lück approximation conjectures ⋮ The Realization Problem for some wild monoids and the Atiyah Problem ⋮ Convergence and limits of linear representations of finite groups ⋮ On the center-valued Atiyah conjecture for \(L^2\)-Betti numbers ⋮ Lamplighter groups and von Neumann‘s continuous regular ring ⋮ Connes embeddings and von Neumann regular closures of amenable group algebras

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