@article{Clark2017StronglyGG,
author={L. O. Clark and R. Hazrat and S. Rigby},
journal={arXiv: Rings and Algebras},
year={2017}
}
• Published 2017
• Mathematics
• arXiv: Rings and Algebras
We study strongly graded groupoids, which are topological groupoids $\mathcal G$ equipped with a continuous, surjective functor $\kappa: \mathcal G \to \Gamma$, to a discrete group $\Gamma$, such that $\kappa^{-1}(\gamma)\kappa^{-1}(\delta) = \kappa^{-1}(\gamma \delta)$, for all $\gamma, \delta \in \Gamma$. We introduce the category of graded $\mathcal G$-sheaves, and prove an analogue of Dade's Theorem: $\mathcal G$ is strongly graded if and only if every graded $\mathcal G$-sheaf is induced… Expand
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