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arXiv · 1706.03743

Continuous cocycle superrigidity for the full shift over a finitely generated torsion group

David Bruce Cohen
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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.

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David Bruce Cohen. 2017-06-12. Continuous cocycle superrigidity for the full shift over a finitely generated torsion group. https://arxiv.org/abs/1706.03743

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