Add to ORKGWe show that all amenable, minimal actions of a large class of nonamenable countable groups on compact metric spaces have dynamical comparison. This class includes all nonamenable hyperbolic groups, many HNN-extensions, nonamenable Baumslag-Solitar groups, a large class of amalgamated free products, lattices in many Lie groups, $\widetilde{A}_2$-groups, as well as direct products of the above with arbitrary countable groups. As a consequence, crossed products by amenable, minimal and topologically free actions of such groups on compact metric spaces are Kirchberg algebras in the UCT class, and are therefore classified by $K$-theory.Comment: v2: 30 pages, 1 figure. To appear in J. Reine Angew. Math. (Crelle
Given a minimal action $\alpha$ of a countable group on the Cantor set, we show that the alternating...
We prove that for any free ergodic nonsingular nonamenable action Γ{right curved arrow}(X, μ) of all...
Given a topologically free action of a countable group $G$ on a compact metric space $X$, there is a...
It was shown by Rørdam and the second named author that a countable group G admits an action on a co...
Supramenability of groups is characterised in terms of invariant measures on locally compact spaces....
In this work, we will explore the relation between topological dynamical systems and their reduced c...
This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the...
In this work, we will explore the relation between topological dynamical systems and their reduced c...
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature. We prove the first rigidity and class...
If $\textbf{S}$ is a subcategory of metric spaces, we say that a group G has property $B\textbf{S}$ ...
Given positive integers n and m, we consider dynamical systems in which n copies of a topological sp...
This dissertation consists of three parts. ^ In the first, we consider residually finite groups a...
We establish finite nuclear dimension for crossed product C*-algebras arising from various classes o...
Given positive integers n and m, we consider dynamical systems in which n copies of a topological sp...
viii, 133 p. A print copy of this thesis is available through the UO Libraries. Search the library...
Given a minimal action $\alpha$ of a countable group on the Cantor set, we show that the alternating...
We prove that for any free ergodic nonsingular nonamenable action Γ{right curved arrow}(X, μ) of all...
Given a topologically free action of a countable group $G$ on a compact metric space $X$, there is a...
It was shown by Rørdam and the second named author that a countable group G admits an action on a co...
Supramenability of groups is characterised in terms of invariant measures on locally compact spaces....
In this work, we will explore the relation between topological dynamical systems and their reduced c...
This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the...
In this work, we will explore the relation between topological dynamical systems and their reduced c...
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature. We prove the first rigidity and class...
If $\textbf{S}$ is a subcategory of metric spaces, we say that a group G has property $B\textbf{S}$ ...
Given positive integers n and m, we consider dynamical systems in which n copies of a topological sp...
This dissertation consists of three parts. ^ In the first, we consider residually finite groups a...
We establish finite nuclear dimension for crossed product C*-algebras arising from various classes o...
Given positive integers n and m, we consider dynamical systems in which n copies of a topological sp...
viii, 133 p. A print copy of this thesis is available through the UO Libraries. Search the library...
Given a minimal action $\alpha$ of a countable group on the Cantor set, we show that the alternating...
We prove that for any free ergodic nonsingular nonamenable action Γ{right curved arrow}(X, μ) of all...
Given a topologically free action of a countable group $G$ on a compact metric space $X$, there is a...