Coarse flow spaces for relatively hyperbolic groups-Reference-Cited by-同舟云学术

Coarse flow spaces for relatively hyperbolic groups

Published:2017-03-09 Issue:4 Volume:153 Page:745-779
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

Bartels A.

Abstract

We introduce coarse flow spaces for relatively hyperbolic groups and use them to verify a regularity condition for the action of relatively hyperbolic groups on their boundaries. As an application the Farrell–Jones conjecture for relatively hyperbolic groups can be reduced to the peripheral subgroups (up to index-2 overgroups in the

$L$

-theory case).

Publisher

Wiley

Subject

Algebra and Number Theory

Reference41 articles.

1. Coefficients for the Farrell–Jones Conjecture

2. Algebraic K -theory over the infinite dihedral group: a controlled topology approach

3. Relatively hyperbolic groups;Szczepański;Michigan Math. J.,1998

4. The K-theoretic Farrell–Jones conjecture for hyperbolic groups

5. Relatively Hyperbolic Groups

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