Continuous bounded cocycles

Details Continuous bounded cocycles Continuous bounded cocycles

2011-09-20

arxiv.org/abs/1109.4322v1

Mathematics

Operator Algebras

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

Scientific paper

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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