Boundaries of systolic groups
Group Theory
2008-08-19 v1 Geometric Topology
Abstract
For all systolic groups we construct boundaries which are EZ--structures. This implies the Novikov conjecture for torsion--free systolic groups. The boundary is constructed via a system of distinguished geodesics in a systolic complex, which we prove to have coarsely similar properties to geodesics in CAT(0) spaces.
Keywords
Cite
@article{arxiv.0808.2304,
title = {Boundaries of systolic groups},
author = {Damian Osajda and Piotr Przytycki},
journal= {arXiv preprint arXiv:0808.2304},
year = {2008}
}
Comments
74 pages