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 language | English |
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Pages (from-to) | 3375-3383 |
Number of pages | 9 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 20 |
Issue number | 10 |
DOIs | |
State | Published - 1 Dec 2015 |
Keywords
- Amenable groups
- Entropy
- Sofic groups, Bernoulli shifts, Kolmogorov's theorem