Coarse flow spaces for relatively hyperbolic groups

DOI10.1112/S0010437X16008216zbMath1366.18012arXiv1502.04834OpenAlexW3103967025MaRDI QIDQ2990005

Arthur C. Bartels

Publication date: 9 June 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04834

zbMATH Keywords

Farrell-Jones conjecturerelatively hyperbolic groups\(K\)- and \(L\)-theory of group rings

Mathematics Subject Classification ID

Geometric group theory (20F65) (K)-theory and homology; cyclic homology and cohomology (19D55) Hyperbolic groups and nonpositively curved groups (20F67) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (L)-theory of group rings (19G24)

Related Items (14)

Farrell-Jones conjecture for fundamental groups of graphs of virtually cyclic groups ⋮ Acylindrical actions on projection complexes ⋮ Groups acting on hyperbolic spaces -- a survey ⋮ Rokhlin dimension: absorption of model actions ⋮ The Farrell-Jones conjecture for mapping class groups ⋮ Farrell–Jones via Dehn fillings ⋮ Real hyperbolic hyperplane complements in the complex hyperbolic plane ⋮ Finitely \(\mathcal{F}\)-amenable actions and decomposition complexity of groups ⋮ Almost finiteness and the small boundary property ⋮ Rokhlin dimension for actions of residually finite groups ⋮ The Farrell–Jones conjecture for normally poly-free groups ⋮ Acylindrical actions on trees and the Farrell-Jones conjecture ⋮ Dynamic asymptotic dimension for actions of virtually cyclic groups ⋮ A compactification of outer space which is an absolute retract

Cites Work

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• The Borel conjecture for hyperbolic and CAT(0)-groups
• Geodesic flow for CAT(0)-groups
• Algebraic \(K\)-theory over virtually abelian groups
• Coefficients for the Farrell-Jones conjecture
• Equivariant covers for hyperbolic groups.
• Dehn filling in relatively hyperbolic groups.
• K-theory and dynamics. I
• Long and thin covers for flow spaces
• \(K\)- and \(L\)-theory of group rings over \(\mathrm{GL}_n(\mathbb Z)\)
• Flows and joins of metric spaces
• The \(K\)-theoretic Farrell-Jones conjecture for hyperbolic groups
• Boundary amenability of relatively hyperbolic groups.
• The $K$-theoretic Farrell-Jones conjecture for CAT(0)-groups
• RELATIVELY HYPERBOLIC GROUPS
• K- and L-theory of group rings
• Algebraic K -theory over the infinite dihedral group: a controlled topology approach
• Amenable covers, volume and L 2-Betti numbers of aspherical manifolds
• The Boundary of Negatively Curved Groups
• Isomorphism Conjectures in Algebraic K-Theory
• Classifying Spaces and Boundaries for Relatively Hyperbolic Groups
• Farrell–Jones via Dehn fillings
• The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups
• On the Farrell-Jones Conjecture and its applications
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
• Relatively hyperbolic groups
• Relatively hyperbolic groups

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