We show that if \(S\), \(T\) are two commuting automorphisms of a standard Borel space such that they generate a free Borel \(\mathbb{Z}^2\)-action then \(S\) and \(T\) do not have same sets of real valued bounded coboundaries. We also prove a weaker form of Rokhlin Lemma for Borel \(\mathbb{Z}^d\)-actions
We prove that the Borel space of torsion-free Abelian groups with domain $\omega$ is Borel complete,...
AbstractWe give a complete classification up to cocycle conjugacy of uniformly outer actions of Z2 o...
AbstractLet Aut(X, B) be the group of all Borel automorphisms of a standard Borel space (X, B). We s...
To the pair (E,c), where E is a countable Borel equivalence relation on a standard Borel space (X,A)...
Let Λ be a countably infinite property (T) group, and let D be UHF-algebra of infinite type. We prov...
AbstractWe prove that any Borel Abelian ordered group B, having a countable subgroup G as the larges...
We consider Z-actions (single automorphisms) on a unital simple AH algebra with real rank zero and s...
A major recent theme in Descriptive Set Theory has been the study of countable Borel equivalence rel...
The paper is devoted to the study of topologies on the group $\text{\rm Aut}(X,{\Cal B})$ of all Bor...
We develop the concept of Rokhlin dimension for integer and for finite group actions on C∗-algebras....
We analyze Euclidean spheres in higher dimensions and the corresponding orbit equivalence relations ...
. Suppose L is a semisimple Levi subgroup of a connected Lie group G, X is a Borel G-space with fini...
Let be a countably innite property (T) group, and let A be UHF-algebra of innite type. We prove tha...
We present an overview of the recent developments in the study of the classification problem for aut...
We present an overview of the recent developments in the study of the classification problem for aut...
We prove that the Borel space of torsion-free Abelian groups with domain $\omega$ is Borel complete,...
AbstractWe give a complete classification up to cocycle conjugacy of uniformly outer actions of Z2 o...
AbstractLet Aut(X, B) be the group of all Borel automorphisms of a standard Borel space (X, B). We s...
To the pair (E,c), where E is a countable Borel equivalence relation on a standard Borel space (X,A)...
Let Λ be a countably infinite property (T) group, and let D be UHF-algebra of infinite type. We prov...
AbstractWe prove that any Borel Abelian ordered group B, having a countable subgroup G as the larges...
We consider Z-actions (single automorphisms) on a unital simple AH algebra with real rank zero and s...
A major recent theme in Descriptive Set Theory has been the study of countable Borel equivalence rel...
The paper is devoted to the study of topologies on the group $\text{\rm Aut}(X,{\Cal B})$ of all Bor...
We develop the concept of Rokhlin dimension for integer and for finite group actions on C∗-algebras....
We analyze Euclidean spheres in higher dimensions and the corresponding orbit equivalence relations ...
. Suppose L is a semisimple Levi subgroup of a connected Lie group G, X is a Borel G-space with fini...
Let be a countably innite property (T) group, and let A be UHF-algebra of innite type. We prove tha...
We present an overview of the recent developments in the study of the classification problem for aut...
We present an overview of the recent developments in the study of the classification problem for aut...
We prove that the Borel space of torsion-free Abelian groups with domain $\omega$ is Borel complete,...
AbstractWe give a complete classification up to cocycle conjugacy of uniformly outer actions of Z2 o...
AbstractLet Aut(X, B) be the group of all Borel automorphisms of a standard Borel space (X, B). We s...
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