Weak containment and Rokhlin entropy
Dynamical Systems
2017-05-31 v2
Abstract
We define a new notion of weak containment for joinings, and we show that this notion implies an inequality between relative Rokhlin entropies. This leads to new upper bounds to Rokhlin entropy. We also use this notion to study how Pinsker algebras behave under direct products, and we study the Rokhlin entropy of restricted actions of finite-index subgroups.
Keywords
Cite
@article{arxiv.1602.06680,
title = {Weak containment and Rokhlin entropy},
author = {Brandon Seward},
journal= {arXiv preprint arXiv:1602.06680},
year = {2017}
}
Comments
References updated