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摘要
The classical Juzvinskii 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 in L. Bowen [Nonabelian free group actions: Markov processes, the Abramov-Rohlin formula and Yuzvinskii's formula. Ergod. Th. & Dynam. Sys. 30(6) (2010), 1629-1663]) and discuss examples.
- 出版日期2014-2
