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A Juzvinski\uı Addition Theorem for Finitely Generated Free Groups Actions

The classical Juzvinskiĭ 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.

preprint2012arXivOpen access
Lewis BowenYonatan Gutman
math.DS
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Lewis BowenYonatan Gutman

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