Asymptotic dimension and hyperfiniteness of generic Cantor actions
We show that for a countable discrete group which is locally of finite asymptotic dimension, the generic continuous action on Cantor space has hyperfinite orbit equivalence relation. In particular, this holds for free groups, answering a question of Frisch–Kechris–Shinko–Vidnyánszky.
Authors
- Forte Shinko (ORCID: https://orcid.org/0000-0001-8142-1509)
- Sumun Iyer (ORCID: https://orcid.org/0009-0000-5401-1563)
Institutions
- Carnegie Mellon University (US)
- University of California, Berkeley (US)
Publication Details
- Journal
- Groups Geometry and Dynamics
- Published
- 2025-05-06
- DOI
- https://doi.org/10.4171/ggd/896
- Citations
- 1
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 3.69