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# Finite Entropy Actions of Free Groups , Rigidity of Stabilizers , and a Howe – Moore Type Phenomenon

@inproceedings{Seward2013FiniteEA, title={Finite Entropy Actions of Free Groups , Rigidity of Stabilizers , and a Howe – Moore Type Phenomenon}, author={Brandon Seward}, year={2013} }

- Published 2013

We study a notion of entropy for probability measure preserving actions of finitely generated free groups, called f-invariant entropy, introduced by Lewis Bowen. In the degenerate case, the f-invariant entropy is negative infinity. In this paper we investigate the qualitative consequences of having finite f-invariant entropy. We find three main properties of such actions. First, the stabilizers occurring in factors of such actions are highly restricted. Specifically, the stabilizer of almost… CONTINUE READING

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