Abstract
In this note we show existence of bounded, continuous, transitive cocycles over a transitive action by homeomorphisms of any finitely generated group on a Polish space, and bounded, measurable, ergodic cocycles over any ergodic, probability-preserving action of ℤd.
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Dedicated, with admiration, to Larry Zalcman upon concluding thirty years as editor of the Journal d’Analyse
Aaronson’s research was partially supported by ISF grant No. 1289/17.
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Aaronson, J., Weiss, B. On the bounded cohomology of ergodic group actions. JAMA 141, 1–21 (2020). https://doi.org/10.1007/s11854-020-0123-6
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DOI: https://doi.org/10.1007/s11854-020-0123-6