Abstract
We introduce the concept of coarse groupoid cohomology for a groupoid equipped with a coarse structure. We construct a Connes-Chern character map from the coarse groupoid cohomology to the cyclic cohomology of the smooth coarse Roe algebra of the groupoid. As an example, we construct a cyclic coarse cocycle on the holonomy groupoid associated to a flat principal $G$-bundle for a Lie group $G$.
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