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On circle-valued cocycles of an ergodic measure-preserving transformation

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Abstract

Analytic necessary and sufficient conditions are given for a circle-valued functionf to generate a cocycle which is a multiple of a coboundary. These conditions are then used to derive some other new criteria for cocycles to be coboundaries.

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Authors and Affiliations

  1. Department of Mathematics, Campus Box 426, University of Colorado, 80309, Boulder, CO, USA

    Larry Baggett

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  1. Larry Baggett
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Additional information

This research was supported in part by an NSF grant DMS8600753.

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Baggett, L. On circle-valued cocycles of an ergodic measure-preserving transformation. Israel J. Math. 61, 29–38 (1988). https://doi.org/10.1007/BF02776300

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  • DOI: https://doi.org/10.1007/BF02776300

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