5 papers
Topological full groups and stable rank one
David Kerr, Spyridon Petrakos
We establish stable rank one for the reduced group C-algebras of the C-simple topological full groups and dynamical alternating groups constructed by Kerr and Tucker-Drob.…
Stable rank one in nonnuclear crossed products
Jamie Bell, Shirly Geffen, David Kerr
We initiate an investigation into the local structure of simple nonnuclear C-crossed products by showing that stable rank one is generic within two natural classes of minimal a…
The small boundary property in products
David Kerr, Hanfeng Li
For a continuous action of a countable group on a compact metrizable space we show that the following are equivalent: (i) the action has…
Bauer simplices and the small boundary property
David Kerr, Grigoris Kopsacheilis, Spyridon Petrakos
We show that, for every minimal action of a countably infinite discrete group on a compact metrizable space, if the extreme boundary of the simplex of invariant Borel probability m…
McDuff factors from amenable actions and dynamical alternating groups
David Kerr, Spyridon Petrakos
Given a topologically free action of a countably infinite amenable group on the Cantor set, we prove that, for every subgroup of the topological full group containing the alter…