  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.
