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A groupoid is a category where all morphisms are invertible. This notion can also be seen as an extension of the notion of group. A motivating example is the fundamental groupoid of a topological space with respect to several base points, compared to the usual fundamental group.

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A question on groupoids and measurable fields of Hilbert spaces

Suppose that we have the following data: $ \mathcal{G} $ is a locally compact Hausdorff groupoid, with its source and range maps denoted by $ s $ and $ r $ respectively. $ (\lambda^{x})_{x \in \math …
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