Continuous bounded cocycles

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.

14 pages, presented at the EU-NCG4 Conference, Bucharest 2011

References in corpus (2)

• On bounded cocycles of isometries over a minimal dynamics
• Semigroups of Local Homeomorphisms