Work

Asymptotic dimension and hyperfiniteness of generic Cantor actions

Year: 2025

Type: article

Abstract: 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.

Source: Groups Geometry and Dynamics

DOI: 10.4171/ggd/896

Authors: Sumun Iyer, Forte Shinko

Institutions: Carnegie Mellon University, University of California, Berkeley

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Division of Mathematical Sciences

Award: Graduate Research Fellowship Program (GRFP)