Continuous bounded cocycles
Operator Algebras
2011-09-21 v1 Dynamical Systems
Abstract
Let be a minimal locally compact groupoid with compact metrizable unit space and let be a continuous -Hilbert bundle. We show that a bounded continuous cocycle is necessarily a continuous coboundary. This is a groupoid version of a classical theorem of Gottschalk and Hedlund.
Keywords
Cite
@article{arxiv.1109.4322,
title = {Continuous bounded cocycles},
author = {Jean Renault},
journal= {arXiv preprint arXiv:1109.4322},
year = {2011}
}
Comments
14 pages, presented at the EU-NCG4 Conference, Bucharest 2011