Ergodic actions of countable groups and finite generating partitions
Dynamical Systems
2012-06-27 v1
Abstract
We prove that if an ergodic action of a countable group on a probability space admits a generating partition having finite Shannon entropy then it admits a finite generating partition.
Keywords
Cite
@article{arxiv.1206.6005,
title = {Ergodic actions of countable groups and finite generating partitions},
author = {Brandon Seward},
journal= {arXiv preprint arXiv:1206.6005},
year = {2012}
}