The Farrell-Jones conjecture for fundamental groups of graphs of abelian groups

DOI10.4171/GGD/327zbMath1325.18004arXiv1309.6909OpenAlexW2963966450WikidataQ122874786 ScholiaQ122874786MaRDI QIDQ748379

Giovanni Gandini, Henrik Rüping, Sebastian Meinert

Publication date: 20 October 2015

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6909

zbMATH Keywords

graphs of groupsFarrell-Jones conjecturegeneralized Baumslag-Solitar groups

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) Higher algebraic (K)-theory (19D99) (L)-theory of group rings (19G24)

Related Items (8)

Farrell-Jones conjecture for fundamental groups of graphs of virtually cyclic groups ⋮ The Farrell–Jones conjecture for virtually solvable groups: ⋮ Topological rigidity for FJ by the infinite cyclic group ⋮ 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 normally poly-free groups ⋮ Acylindrical actions on trees and the Farrell-Jones conjecture ⋮ Isomorphism Conjecture for Baumslag-Solitar groups

Cites Work

• The Borel conjecture for hyperbolic and CAT(0)-groups
• Covering theory for graphs of groups
• The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups

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