A brief introduction to sofic entropy theory

TL;DR

This paper provides a concise overview of sofic entropy theory, extending classical entropy concepts to actions of sofic groups, a broad class of non-amenable groups, and offers guidance to relevant literature.

Contribution

It introduces the foundational ideas of sofic entropy theory and serves as a guide to existing literature on the topic.

Findings

Sofic entropy generalizes classical entropy to non-amenable groups.

Provides a comprehensive overview of the theory and its applications.

Serves as an accessible entry point for further research.

Abstract

Sofic entropy theory is a generalization of the classical Kolmogorov-Sinai entropy theory to actions of large class of non-amenable groups called sofic groups. This is a short introduction with a guide to the literature.