A Juzvinskiĭ Addition Theorem for Finitely Generated Free Group Actions

Details A Juzvinskiĭ Addition Theorem for Finitely Generated Free Group Actions A Juzvinskiĭ Addition Theorem for Finitely Generated Free Group Actions

2011-10-23

arxiv.org/abs/1110.5029v2

Mathematics

Dynamical Systems

Scientific paper

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 finitely dimensional Lie Groups and discuss examples.

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