$L^2$-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices
arXiv:1612.04559 · doi:10.1112/topo.12056
Abstract
The main result is a general approximation theorem for normalised Betti numbers for Farber sequences of lattices in totally disconnected groups. Further, we contribute some computations and complements to the general theory of $L^2$-Betti numbers of totally disconnected groups.
final version; accepted for publication by the Journal of Topology