A Juzvinski\u{\i} Addition Theorem for Finitely Generated Free Groups Actions
Dynamical Systems
2012-08-09 v3
Abstract
The classical Juzvinski\u{i} Addition Theorem states that the entropy of an automorphism of a compact group decomposes along invariant subgroups. Thomas generalized the theorem to a skew-product setting. Using L. Bowen's f-invariant we prove the addition theorem for actions of finitely generated free groups on skew-products with compact totally disconnected groups or compact Lie groups (correcting an error from [Bo10c]) and discuss examples.
Keywords
Cite
@article{arxiv.1110.5029,
title = {A Juzvinski\u{\i} Addition Theorem for Finitely Generated Free Groups Actions},
author = {Lewis Bowen and Yonatan Gutman},
journal= {arXiv preprint arXiv:1110.5029},
year = {2012}
}