Continuous bounded cocycles

Jean Renault

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arXiv · 1109.4322

Continuous bounded cocycles

Jean Renault

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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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Jean Renault. 2011-09-20. Continuous bounded cocycles. https://arxiv.org/abs/1109.4322

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