Abstract
We show, for a large class of groups, the existence of cocycles taking values in these groups and which define ergodic skew products. We apply this to prove a generalization of Ambrose’s representation theorem for ergodic actions of these groups.
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Zimmer, R.J. Cocycles and the structure of ergodic group actions. Israel J. Math. 26, 214–220 (1977). https://doi.org/10.1007/BF03007643
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DOI: https://doi.org/10.1007/BF03007643