40 citations · 95 across the 19 of their papers we have counts for
4 papers · 1 filter
Algebraic reformulation of Connes embedding problem and the free group algebra
Kate Juschenko, Stanislav Popovych
We give a modification of I. Klep and M. Schweighofer algebraic reformulation of Connes' embedding problem by considering *-algebra of the countably generated free group. This allo…
Extensions of amenable groups by recurrent groupoids
Kate Juschenko, Volodymyr Nekrashevych, Mikael de la Salle
We show that amenability of a group acting by homeomorphisms can be deduced from a certain local property of the action and recurrency of the orbital Schreier graphs. This covers a…
Uniformly bounded representations and exact groups
Kate Juschenko, Piotr W. Nowak
We characterize groups with Guoliang Yu's property A (i.e., exact groups) by the existence of a family of uniformly bounded representations which approximate the trivial representa…
Invariant means for the wobbling group
Kate Juschenko, Mikael de la Salle
Given a metric space , the wobbling group of is the group of bijections satisfying . We study algebraic and ana…