Nonabelian free group actions: Markov processes, the Abramov-Rohlin formula and Yuzvinskii’s formula
نویسنده
چکیده
This paper introduces Markov chains and processes over nonabelian free groups and semigroups. We prove a formula for the f -invariant of a Markov chain over a free group in terms of transition matrices that parallels the classical formula for the entropy a Markov chain. Applications include free group analogues of the AbramovRohlin formula for skew-product actions and Yuzvinskii’s addition formula for algebraic actions.
منابع مشابه
The Abramov–rokhlin Entropy Addition Formula for Amenable Group Actions
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