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Cocycles and the structure of ergodic group actions

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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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Authors and Affiliations

  1. Department of Mathematics, U.S. Naval Academy, 21402, Annapolis, Maryland, USA

    Robert J. Zimmer

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  1. Robert J. Zimmer
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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

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