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Continuous cocycle superrigidity for the full shift over a finitely generated torsion group (1706.03743v2)
Published 12 Jun 2017 in math.GR and math.DS
Abstract: Chung and Jiang showed that, if a one ended group contains an infinite order element, then every continuous cocycle over the full shift on that group, taking values in a discrete group, must be cohomologous to a homomorphism. We show that their conclusion holds for all one ended groups, so that the hypothesis of admitting an infinite order element may be omitted.