2 papers
math.OA2026
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.…
math.OA2025
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…