We show that the principal algebraic actions of countably infinite groups associated to lopsided elements in the integral group ring satisfying some orderability condition are Bernoulli.Comment: 20 pages. Minor changes. To appear in Israel J. Mat
In this paper we construct an action of the affine Hecke category (in its "Soergel bimodules" incarn...
Abért and Weiss have shown that the Bernoulli shift s_Γ of a countably infinite group Γ is weakly co...
We investigate almost minimal actions of abelian groups and their crossed products. As an applicatio...
We show that an expansive Z2 action on a compact abelian group is measurably isomorphic to a two-dim...
Using the orbital approach to the entropy theory we extend from Z-actions to general countable amena...
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed ...
Given a countable amenable group G and 0 < L < 1, we give an elementary construction of a type-III:...
We show that the measure preserving action of Z2 dual to the action defined by the commuting automor...
Let $G_\Gamma\curvearrowright X$ and $G_\Lambda\curvearrowright Y$ be two free measure-preserving ac...
Given a topologically free action of a countably infinite amenable group on the Cantor set, we prove...
We study topological realizations of countable Borel equivalence relations, including realizations b...
Abstract. A measure preserving action of a countably infinite group Γ is called totally ergodic if e...
We determine the Krieger type of nonsingular Bernoulli actions G curved right arrow Pi(g is an eleme...
AbstractMV-algebras can be viewed either as the Lindenbaum algebras of Łukasiewicz infinite-valued l...
Let $F[X]$ be the polynomial ring over a finite field $F$. It is shown that, for $n\geq 3$, the spec...
In this paper we construct an action of the affine Hecke category (in its "Soergel bimodules" incarn...
Abért and Weiss have shown that the Bernoulli shift s_Γ of a countably infinite group Γ is weakly co...
We investigate almost minimal actions of abelian groups and their crossed products. As an applicatio...
We show that an expansive Z2 action on a compact abelian group is measurably isomorphic to a two-dim...
Using the orbital approach to the entropy theory we extend from Z-actions to general countable amena...
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed ...
Given a countable amenable group G and 0 < L < 1, we give an elementary construction of a type-III:...
We show that the measure preserving action of Z2 dual to the action defined by the commuting automor...
Let $G_\Gamma\curvearrowright X$ and $G_\Lambda\curvearrowright Y$ be two free measure-preserving ac...
Given a topologically free action of a countably infinite amenable group on the Cantor set, we prove...
We study topological realizations of countable Borel equivalence relations, including realizations b...
Abstract. A measure preserving action of a countably infinite group Γ is called totally ergodic if e...
We determine the Krieger type of nonsingular Bernoulli actions G curved right arrow Pi(g is an eleme...
AbstractMV-algebras can be viewed either as the Lindenbaum algebras of Łukasiewicz infinite-valued l...
Let $F[X]$ be the polynomial ring over a finite field $F$. It is shown that, for $n\geq 3$, the spec...
In this paper we construct an action of the affine Hecke category (in its "Soergel bimodules" incarn...
Abért and Weiss have shown that the Bernoulli shift s_Γ of a countably infinite group Γ is weakly co...
We investigate almost minimal actions of abelian groups and their crossed products. As an applicatio...