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Communication Dans Un Congrès Année : 2012

Continuous bounded cocycles

Résumé

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

Dates et versions

hal-01137494 , version 1 (30-03-2015)

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Jean N Renault. Continuous bounded cocycles. Progress in operator algebras, noncommutative geometry, and their applications, Apr 2011, Bucarest, Romania. pp.14. ⟨hal-01137494⟩
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