About von Neumann's problem for locally compact groups
Group Theory
2019-05-21 v1 General Topology
Abstract
We note a generalization of Whyte's geometric solution to the von Neumann problem for locally compact groups in terms of Borel and clopen piecewise translations. This strengthens a result of Paterson on the existence of Borel paradoxical decompositions for non-amenable locally compact groups. Along the way, we study the connection between some geometric properties of coarse spaces and certain algebraic characteristics of their wobbling groups.
Cite
@article{arxiv.1702.07955,
title = {About von Neumann's problem for locally compact groups},
author = {Friedrich Martin Schneider},
journal= {arXiv preprint arXiv:1702.07955},
year = {2019}
}
Comments
14 pages, no figures