Work

Hyperfinite actions on countable sets and probability measure spaces

Year: 2011

Type: preprint

Abstract: We introduce the notion of hyperfiniteness for permutation actions of countable groups on countable sets and give a geometric and analytic characterization, similar to the known characterizations for amenable actions. We also answer a question of van Douwen on actions of the free group on two generators on countable sets.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1105.3200

Authors: Abert, Miklos, Elek, Gabor

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Hungarian Scientific Research Fund

OpenAlex ID: W4297917101

Cites:

Cited by: 1

Related to: 10