Amenability of actions on the boundary of a building
Group Theory
2009-07-14 v1
Abstract
We prove that the action of the automorphism group of a building on its boundary is topologically amenable. The notion of boundary we use was defined in a previous paper \cite{CL}. It follows from this result that such groups have property (A), and thus satisfy the Novikov conjecture. It may also lead to applications in rigidity theory.
Keywords
Cite
@article{arxiv.0907.2033,
title = {Amenability of actions on the boundary of a building},
author = {Jean Lecureux},
journal= {arXiv preprint arXiv:0907.2033},
year = {2009}
}