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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.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…