The Farrell-Hsiang method revisited

DOI10.1007/s00208-011-0727-3zbMath1298.18010arXiv1101.0466OpenAlexW3103365098MaRDI QIDQ453311

Wolfgang Lück, Arthur C. Bartels

Publication date: 19 September 2012

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

Full work available at URL: https://arxiv.org/abs/1101.0466

zbMATH Keywords

Farrell-Jones conjecture\(K\)-theory of group rings\(L\)-theory of group ringscontrolled topologyFarrell-Hsiang methodFrobenius induction

Mathematics Subject Classification ID

(K_0) of group rings and orders (19A31) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (K_1) of group rings and orders (19B28) (L)-theory of group rings (19G24)

Related Items (9)

On the Farrell-Jones conjecture for algebraic \(K\)-theory of spaces: the Farrell-Hsiang method ⋮ The Farrell–Jones conjecture for virtually solvable groups: ⋮ On the transfer reducibility of certain Farrell-Hsiang groups ⋮ On Proofs of the Farrell–Jones Conjecture ⋮ Equivariant coarse homotopy theory and coarse algebraic K-homology ⋮ The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups ⋮ The Farrell-Jones conjecture for the solvable Baumslag-Solitar groups ⋮ The isomorphism conjecture for solvable groups in Waldhausen’s A-theory ⋮ The Farrell-Jones conjecture for some nearly crystallographic groups

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