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arXiv · 1612.04963

A universal property for groupoid C*-algebras. I

Alcides Buss·Rohit Holkar·Ralf Meyer
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Abstract

We describe representations of groupoid C*-algebras on Hilbert modules over arbitrary C*-algebras by a universal property. For Hilbert space representations, our universal property is equivalent to Renault's Integration-Disintegration Theorem. For a locally compact group, it is related to the automatic continuity of measurable group representations. It implies known descriptions of groupoid C*-algebras as crossed products for \'etale groupoids and transformation groupoids of group actions on spaces.

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Alcides Buss, Rohit Holkar, Ralf Meyer. 2016-12-15. A universal property for groupoid C*-algebras. I. https://doi.org/10.1112/plms.12131

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