Amenability, Bilipschitz Maps, and the Von Neumann conjecture
群论
2009-09-25 v1
摘要
We determine when a quasi-isometry between discrete spaces is at bounded distance from a bilipschitz map. From this we prove a geometric version of the Von Neumann conjecture on amenability. We also get some examples in geometric groups theory which show that the sign of the Euler characteristic is not a coarse invariant. Finally we get some general results on uniformly finite homology which we will apply to manifolds in a later paper.
引用
@article{arxiv.math/9704202,
title = {Amenability, Bilipschitz Maps, and the Von Neumann conjecture},
author = {Kevin Whyte},
journal= {arXiv preprint arXiv:math/9704202},
year = {2009}
}
备注
AMS-LaTeX, 13 pages