Continuous cocycle superrigidity for the full shift over a finitely generated torsion group
arXiv:1706.03743
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.
9 pages, 4 figures, terminology has been standardized, and some typos have been corrected