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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…
math.OA2023
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…