scientific article; zbMATH DE number 2065580

zbMath1051.16016arXivmath/0202027MaRDI QIDQ4460240

Thomas Schick, Wolfgang Lück, Peter A. Linnell

Publication date: 18 May 2004

Full work available at URL: https://arxiv.org/abs/math/0202027

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zbMATH Keywords

wreath productsgroup ringsOre conditionOre ringsgroup von Neumann algebraszero divisor conjecture

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) Ore rings, multiplicative sets, Ore localization (16U20)

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\(L^2\)-Betti numbers arising from the lamplighter group ⋮ Idempotent ideals and nonfinitely generated projective modules over integral group rings of polycyclic-by-finite groups. ⋮ The Realization Problem for some wild monoids and the Atiyah Problem ⋮ Pseudo-Sylvester domains and skew Laurent polynomials over firs ⋮ Lamplighter groups and von Neumann‘s continuous regular ring ⋮ Amenability of groups is characterized by Myhill's theorem

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