Positive Sofic Entropy Implies Finite Stabilizer
AbstractWe prove that, for a measure preserving action of a sofic group with positive sofic entropy, the stabilizer is finite on a set of positive measures. This extends the results of Weiss and Seward for amenable groups and free groups, respectively. It follows that the action of a sofic group on its subgroups by inner automorphisms has zero topological sofic entropy, and that a faithful action that has completely positive sofic entropy must be free. View Full-Text
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Meyerovitch, T. Positive Sofic Entropy Implies Finite Stabilizer. Entropy 2016, 18, 263.
Meyerovitch T. Positive Sofic Entropy Implies Finite Stabilizer. Entropy. 2016; 18(7):263.Chicago/Turabian Style
Meyerovitch, Tom. 2016. "Positive Sofic Entropy Implies Finite Stabilizer." Entropy 18, no. 7: 263.
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