Entropy and actions of sofic groups

Benjamin Weiss*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

In recent years there has been a great deal of progress in the study of actions of countable groups. In particular, the concept of the entropy of an action has been extended to all sofic groups following the seminal work of Lewis Bowen. This survey is an invitation to these new developments. It includes a new proof of the analogue of Kolmogorov's theorem for sofic groups, namely that isomorphic Bernoulli shifts have the same base entropy.

Original languageEnglish
Pages (from-to)3375-3383
Number of pages9
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume20
Issue number10
DOIs
StatePublished - 1 Dec 2015

Keywords

  • Amenable groups
  • Entropy
  • Sofic groups, Bernoulli shifts, Kolmogorov's theorem

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