Orbit Equivalence and Measured Group Theory

TL;DR

This paper surveys recent developments in orbit equivalence and measured group theory, focusing on studying infinite countable groups via their measure-preserving actions, highlighting key theoretical advances.

Contribution

It provides a comprehensive overview of recent progress in orbit equivalence and measured group theory, emphasizing new insights and methods.

Findings

Summarizes key recent results in orbit equivalence.

Highlights advances in understanding measure-preserving actions.

Connects orbit equivalence with properties of infinite groups.

Abstract

We give a survey of various recent developments in orbit equivalence and measured group theory. This subject aims at studying infinite countable groups through their measure preserving actions.