English

Coarse flow spaces for relatively hyperbolic groups

Geometric Topology 2019-02-20 v5

Abstract

We introduce a coarse flow space for relatively hyperbolic groups and use it 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).

Keywords

Cite

@article{arxiv.1502.04834,
  title  = {Coarse flow spaces for relatively hyperbolic groups},
  author = {Arthur Bartels},
  journal= {arXiv preprint arXiv:1502.04834},
  year   = {2019}
}

Comments

Final version, to appear in Compositio

R2 v1 2026-06-22T08:31:15.571Z