Entropy Theory for Cross Sections
Dynamical Systems
2009-11-10 v3
Abstract
We define the notion of entropy for a cross section of an action of continuous amenable group and relate it to the entropy of the ambient action. As a result, we are able to answer a question of J.P. Thouvenot about completely positive entropy actions.
Keywords
Cite
@article{arxiv.math/0609273,
title = {Entropy Theory for Cross Sections},
author = {Nir Avni},
journal= {arXiv preprint arXiv:math/0609273},
year = {2009}
}
Comments
26 pages; v2 Main result is stated for groups with zero self-entropy, 34 pages; v3 final version. To be published at GAFA