From acyclic groups to the Bass conjecture for amenable groups.

DOI10.1007/s00208-004-0521-6zbMath1135.20035arXiv1004.1941OpenAlexW2053605769WikidataQ122860516 ScholiaQ122860516MaRDI QIDQ1890239

Indira Chatterji, A. J. Berrick, Guido Mislin

Publication date: 29 December 2004

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1941

zbMATH Keywords

projective modulesintegral group ringsamenable groupsBass conjectureHattori-Stallings rankBost conjecture

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) General theory of von Neumann algebras (46L10) Homological methods in group theory (20J05) (K_1) of group rings and orders (19B28)

Related Items (10)

Group algebras. ⋮ Amenable groups of finite cohomological dimension and the zero divisor conjecture ⋮ BOUNDED COHOMOLOGY AND BINATE GROUPS ⋮ Burghelea conjecture and asymptotic dimension of groups ⋮ The acyclic group dichotomy. ⋮ On the definition of Bolic spaces ⋮ Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture ⋮ HIGHER TRACES ON GROUP RINGS ⋮ On the Farrell-Jones Conjecture and its applications ⋮ Atiyah's \(L^2\)-index theorem, Kan-Thurston construction, and weak Bass conjecture.

This page was built for publication: From acyclic groups to the Bass conjecture for amenable groups.