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A Juzvinski\u{\i} Addition Theorem for Finitely Generated Free Groups Actions

Research paper by Lewis Bowen, Yonatan Gutman

Indexed on: 08 Aug '12Published on: 08 Aug '12Published in: Mathematics - Dynamical Systems



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.