Boundary amenability of $Out(F_N)$
Group Theory
2021-01-21 v2 Geometric Topology
Operator Algebras
Abstract
We prove that is boundary amenable. This also holds more generally for , where is either a toral relatively hyperbolic group or a finitely generated right-angled Artin group. As a consequence, all these groups satisfy the Novikov conjecture on higher signatures.
Keywords
Cite
@article{arxiv.1705.07017,
title = {Boundary amenability of $Out(F_N)$},
author = {Mladen Bestvina and Vincent Guirardel and Camille Horbez},
journal= {arXiv preprint arXiv:1705.07017},
year = {2021}
}
Comments
v2: Final version. Accepted in Annales scientifiques de l'\'Ecole normale sup\'erieure