Add to ORKGAbstract. Grigorchuk and Medynets recently announced that the topological full group of a minimal Cantor Z-action is amenable. They asked whether the statement holds for all minimal Cantor actions of general amenable groups as well. We answer in the negative by producing a minimal Cantor Z2-action for which the topological full group contains a non-abelian free group. 1
Introduction to the topic Throughout the text X denotes a Cantor space. When convenient we shall tak...
Abstract. Each topological group G admits a unique universal minimal dy-namical system (M(G), G). Fo...
AbstractWe give a new proof of the classification, up to topological orbit equivalence, of minimal A...
Given a minimal action $\alpha$ of a countable group on the Cantor set, we show that the alternating...
We show that every minimal, free action of the group Z2 on the Cantor set is orbit equivalent to an ...
orbit equivalence, group actions and, more generally, etale equivalence relations on Cantor speaces....
Abstract. We provide the first examples of finitely generated simple groups that are amenable (and i...
We show that every minimal action of any finitely generated abelian group on the Cantor set is (topo...
1 Introduction. In 1959, H. Dye ([D1]) introduced the notion of orbit equivalence and proved that an...
This dissertation investigates the amenability of topological full groups using a property of group ...
Within the subject of topological dynamics, there has been considerable recent interest in systems w...
International audienceWe study full groups of minimal actions of countable groups by homeomorphisms ...
We prove that any countable non-amenable group Γ admits a free minimal amenable purely infinite acti...
AbstractWe give a new proof of the classification, up to topological orbit equivalence, of minimal A...
Abstract. Each topological group G admits a unique universal minimal dy-namical system (M(G), G). Fo...
Introduction to the topic Throughout the text X denotes a Cantor space. When convenient we shall tak...
Abstract. Each topological group G admits a unique universal minimal dy-namical system (M(G), G). Fo...
AbstractWe give a new proof of the classification, up to topological orbit equivalence, of minimal A...
Given a minimal action $\alpha$ of a countable group on the Cantor set, we show that the alternating...
We show that every minimal, free action of the group Z2 on the Cantor set is orbit equivalent to an ...
orbit equivalence, group actions and, more generally, etale equivalence relations on Cantor speaces....
Abstract. We provide the first examples of finitely generated simple groups that are amenable (and i...
We show that every minimal action of any finitely generated abelian group on the Cantor set is (topo...
1 Introduction. In 1959, H. Dye ([D1]) introduced the notion of orbit equivalence and proved that an...
This dissertation investigates the amenability of topological full groups using a property of group ...
Within the subject of topological dynamics, there has been considerable recent interest in systems w...
International audienceWe study full groups of minimal actions of countable groups by homeomorphisms ...
We prove that any countable non-amenable group Γ admits a free minimal amenable purely infinite acti...
AbstractWe give a new proof of the classification, up to topological orbit equivalence, of minimal A...
Abstract. Each topological group G admits a unique universal minimal dy-namical system (M(G), G). Fo...
Introduction to the topic Throughout the text X denotes a Cantor space. When convenient we shall tak...
Abstract. Each topological group G admits a unique universal minimal dy-namical system (M(G), G). Fo...
AbstractWe give a new proof of the classification, up to topological orbit equivalence, of minimal A...