English

The isomorphism problem for group actions

Dynamical Systems 2025-07-10 v1 Logic

Abstract

We discuss the isomorphism problem for ergodic actions of locally compact groups. In particular we show that the conjugacy relation is not Borel for ergodic measure preserving actions of indicable groups.

Keywords

Cite

@article{arxiv.2507.06257,
  title  = {The isomorphism problem for group actions},
  author = {Matthew Foreman and Benjamin Weiss},
  journal= {arXiv preprint arXiv:2507.06257},
  year   = {2025}
}
R2 v1 2026-07-01T03:52:09.565Z