A universal property for groupoid C-*-algebras. I

作者：Buss Alcides^*; Holkar Rohit D; Meyer Ralf

来源：Proceedings of the London Mathematical Society, 2018, 117(2): 345-375.

DOI：10.1112/plms.12131

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.

• 出版日期2018-8