English

A note on minimal models for pmp actions

Dynamical Systems 2019-07-17 v3 Group Theory

Abstract

Given a countable group GG, we say that a metrizable flow YY is model-universal if by considering the various invariant measures on YY, we can recover every free measure-preserving GG-system up to isomorphism. Weiss has constructed a minimal model-universal flow. In this note, we provide a new, streamlined construction, allowing us to show that a minimal model-universal flow is far from unique.

Keywords

Cite

@article{arxiv.1903.02251,
  title  = {A note on minimal models for pmp actions},
  author = {Andy Zucker},
  journal= {arXiv preprint arXiv:1903.02251},
  year   = {2019}
}
R2 v1 2026-06-23T07:59:35.214Z