Minimal model-universal flows for locally compact Polish groups

Abstract

Let G be a locally compact Polish group. A metrizable G-flow Y is called model-universal if by considering the various invariant probability measures on Y, we can recover every free action of G on a standard Lebesgue space up to isomorphism. Weiss has shown that for countable G, there exists a minimal, model-universal flow. In this paper, we extend this result to all locally compact Polish groups.