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Continuous bounded cocycles

Published 20 Sep 2011 in math.OA and math.DS | (1109.4322v1)

Abstract: Let $G$ be a minimal locally compact groupoid with compact metrizable unit space and let $E$ be a continuous $G$-Hilbert bundle. We show that a bounded continuous cocycle $c: G\ra r*E$ is necessarily a continuous coboundary. This is a groupoid version of a classical theorem of Gottschalk and Hedlund.

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Authors (1)

  1. Jean Renault 

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