Positive Sofic Entropy Implies Finite Stabilizer
We 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 subg...
Main Author: | Tom Meyerovitch |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2016-07-01
|
Series: | Entropy |
Subjects: | |
Online Access: | http://www.mdpi.com/1099-4300/18/7/263 |
Similar Items
-
An Approach to Deriving Maximal Invariant Statistics
by: Mehdi Shams
Published: (2022-12-01) -
ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES
by: TIM AUSTIN
Published: (2016-01-01) -
When the intrinsic algebraic entropy is not
really intrinsic
by: Goldsmith Brendan, et al.
Published: (2015-10-01) -
Finite groups with seminormal or abnormal Sylow subgroups
by: Victor Monakhov, et al.
Published: (2020-09-01) -
Finite groups whose minimal subgroups are weakly H*-subgroups
by: Abdelrahman Abdelhamid Heliel, et al.
Published: (2014-09-01)