Approximating L^2 invariants of amenable covering spaces: A combinatorial approach
dg-ga
2008-02-03 v3 Differential Geometry
Abstract
In this paper, we prove that the Betti numbers of an amenable covering space can be approximated by the average Betti numbers of a regular exhaustion, proving a conjecture that we made in an earlier paper. We also prove that an arbitrary amenable covering space of a finite simplicial complex is of determinant class.
Keywords
Cite
@article{arxiv.dg-ga/9609003,
title = {Approximating L^2 invariants of amenable covering spaces: A combinatorial approach},
author = {Jozef Dodziuk and Varghese Mathai},
journal= {arXiv preprint arXiv:dg-ga/9609003},
year = {2008}
}
Comments
14 pages, AMS-LaTeX, a minor revision of an earlier version containing new references to earlier work in the field