\(K\)- and \(L\)-theory of group rings over \(\mathrm{GL}_n(\mathbb Z)\)

DOI10.1007/s10240-013-0055-0zbMath1300.19001arXiv1204.2418OpenAlexW1971901951MaRDI QIDQ2249433

Holger Reich, Wolfgang Lück, Henrik Rüping, Arthur C. Bartels

Publication date: 1 July 2014

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2418

zbMATH Keywords

group ringadditive categoryFarrell-Jones conjecturefamily of subgroups

Mathematics Subject Classification ID

Homological methods in group theory (20J05) (K)-theory and homology; cyclic homology and cohomology (19D55) (L)-theory of group rings (19G24)

Related Items (16)

On the Farrell-Jones conjecture for algebraic \(K\)-theory of spaces: the Farrell-Hsiang method ⋮ The Farrell–Jones conjecture for virtually solvable groups: ⋮ Algebraic K-theory of group rings and the cyclotomic trace map ⋮ Topological rigidity for FJ by the infinite cyclic group ⋮ The Farrell-Jones conjecture for graph products ⋮ Some Open Problems About Aspherical Closed Manifolds ⋮ On the transfer reducibility of certain Farrell-Hsiang groups ⋮ On Proofs of the Farrell–Jones Conjecture ⋮ Coarse flow spaces for relatively hyperbolic groups ⋮ The Farrell-Jones conjecture for mapping class groups ⋮ Farrell–Jones via Dehn fillings ⋮ Approximately fibering a manifold over an aspherical one ⋮ On the Farrell-Jones conjecture for Waldhausen's \(A\)-theory ⋮ The Farrell–Jones conjecture forS-arithmetic groups ⋮ The isomorphism conjecture for solvable groups in Waldhausen’s A-theory ⋮ Acylindrical actions on trees and the Farrell-Jones conjecture

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