Approximating L^2 invariants of amenable covering spaces: A combinatorial approach
Józef Dodziuk, Varghese Mathai · arXiv (Cornell University) · 1996
In this paper, we prove that the $L^2$ 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.