Growth conditions for freeness of the Furstenberg boundary action

Published 16 Feb 2026 in math.OA | (2602.15009v1)

Abstract: Given a finitely generated group $Γ$ and $g\inΓ$, we prove sufficient conditions in terms of various growth/decay functions for freeness of the action of $g$ on the Furstenberg boundary of $Γ$. In this context, we also give a description of the support of stationary states on the reduced C*-algebra of $Γ$.

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