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A universal property for groupoid C<sup>*</sup>-algebras. I

A universal property for groupoid C<sup>*</sup>-algebras. I

We describe representations of groupoid C āˆ— -algebras on Hilbert modules over arbitrary C āˆ— -algebras by a universal property. For Hilbert space representations, our universal property is equivalent to Renault's integrationā€“disintegration theorem. For a locally compact group, it is related to the automatic continuity of measurable group representations. It ā€¦