3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.GR2018
On elementary amenable bounded automata groups
Kate Juschenko, Benjamin Steinberg, Phillip Wesolek
There are several natural families of groups acting on rooted trees for which every member is known to be amenable. It is, however, unclear what the elementary amenable members of…
math.GR2015
Non-elementary amenable subgroups of automata groups
Kate Juschenko
We consider groups of automorphisms of locally finite trees, and give conditions on its subgroups that imply that they are not elementary amenable. This covers all known examples o…
math.OA2009★ 3 cited
Matrices of unitary moments
Ken Dykema, Kate Juschenko
We investigate certain matrices composed of mixed, second-order moments of unitaries. The unitaries are taken from C*-algebras with moments taken with respect to traces, or, altern…