30 citations · 89 across the 12 of their papers we have counts for
18 papers
On Invariant Random Subgroups of Block-Diagonal Limits of Symmetric Groups
Artem Dudko, Kostya Medynets
We classify the ergodic invariant random subgroups of block-diagonal limits of symmetric groups in the cases when the groups are simple and the associated dimension groups have fin…
Toeplitz Subshifts with Trivial Centralizers and Positive Entropy
Kostya Medynets, James P. Talisse
Given a dynamical system , the centralizer denotes the group of all homeomorphisms of which commute with the action of . This group is sometimes called the aut…
Presentations of Topological Full Groups by Generators and Relations
Rostislav Grigorchuk, Konstantin Medynets
We describe generators and defining relations for the commutator subgroup of topological full groups of minimal subshifts. We show that the word problem in a topological full group…
Cantor systems and quasi-isometry of groups
Kostya Medynets, Roman Sauer, Andreas Thom
The purpose of this note is twofold. In the first part we observe that two finitely generated non-amenable groups are quasi-isometric if and only if they admit topologically orbit…
On Virtual Conjugacy of Generalized Odometers
María Isabel Cortez, Konstantin Medynets
The paper is focused on the study of continuous orbit equivalence for generalized odometers (profinite actions). We show that two generalized odometers are continuously orbit equiv…
Finite Factor Representations of Higman-Thompson groups
Artem Dudko, Konstantin Medynets
We prove that the only finite factor-representations of the Higman-Thompson groups , are the regular representations and scalar representations arising…