A universal property for groupoid C*-algebras. I
Operator Algebras
2019-04-30 v2
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.
Keywords
Cite
@article{arxiv.1612.04963,
title = {A universal property for groupoid C*-algebras. I},
author = {Alcides Buss and Rohit Holkar and Ralf Meyer},
journal= {arXiv preprint arXiv:1612.04963},
year = {2019}
}
Comments
Final version accepted for publication at Proc. London Math. Soc