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 subgroups by inner automorphisms has zero topological sofic entropy, and that a faithful action that has completely positive sofic entropy must be free
This paper is concerned with the entropy of an action of a countable torsion-free abelian group G by...
Shereshevsky has shown that a shift-commuting homeomorphism from the two-dimensional full shift to i...
The aim of this manuscript is to study some local properties of the topological entropy of a free se...
Sofic entropy is an isomorphism invariant of measure-preserving actions of sofic groups introduced b...
In general orbit equivalence between free measure-preserving actions of countably infinite groups on...
We study a measure entropy for finitely generated free group actions called f-invariant entropy. The...
In 1987, Ornstein and Weiss discovered that the Bernoulli $2$-shift over the rank two free group fac...
AbstractRecently Lewis Bowen introduced a notion of entropy for measure-preserving actions of counta...
I will show that if a free ergodic action of a countable group has positive Rokhlin entropy (or, les...
Let G be a countable discrete sofic group. We define a concept of uniform mixing for measure-preserv...
The existence of non-Bernoullian actions with completely positive entropy is proved for a class of c...
Let $\Gamma$ be a sofic group, $\Sigma$ be a sofic approximation sequence of $\Gamma$ and $X$ be a $...
This dissertation is about measured group theory, sofic entropy and operator algebras. More precisel...
We study an invariant of dynamical systems called naive entropy, which is defined for both measurabl...
In the past decade entropy theory for the actions of countable sofic groups has been developed start...
This paper is concerned with the entropy of an action of a countable torsion-free abelian group G by...
Shereshevsky has shown that a shift-commuting homeomorphism from the two-dimensional full shift to i...
The aim of this manuscript is to study some local properties of the topological entropy of a free se...
Sofic entropy is an isomorphism invariant of measure-preserving actions of sofic groups introduced b...
In general orbit equivalence between free measure-preserving actions of countably infinite groups on...
We study a measure entropy for finitely generated free group actions called f-invariant entropy. The...
In 1987, Ornstein and Weiss discovered that the Bernoulli $2$-shift over the rank two free group fac...
AbstractRecently Lewis Bowen introduced a notion of entropy for measure-preserving actions of counta...
I will show that if a free ergodic action of a countable group has positive Rokhlin entropy (or, les...
Let G be a countable discrete sofic group. We define a concept of uniform mixing for measure-preserv...
The existence of non-Bernoullian actions with completely positive entropy is proved for a class of c...
Let $\Gamma$ be a sofic group, $\Sigma$ be a sofic approximation sequence of $\Gamma$ and $X$ be a $...
This dissertation is about measured group theory, sofic entropy and operator algebras. More precisel...
We study an invariant of dynamical systems called naive entropy, which is defined for both measurabl...
In the past decade entropy theory for the actions of countable sofic groups has been developed start...
This paper is concerned with the entropy of an action of a countable torsion-free abelian group G by...
Shereshevsky has shown that a shift-commuting homeomorphism from the two-dimensional full shift to i...
The aim of this manuscript is to study some local properties of the topological entropy of a free se...
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