A generalization of Renault’s theorem for Cartan subalgebras

Raad, Ali

doi:10.1090/proc/16003

A generalization of Renault’s theorem for Cartan subalgebras
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by Ali I. Raad PDF

Proc. Amer. Math. Soc. 150 (2022), 4801-4809 Request permission

Abstract:

We prove a generalized version of Renault’s theorem for Cartan subalgebras. We show that the original assumptions of second countability and separability are not needed. This weakens the assumption of topological principality of the underlying groupoid to effectiveness.

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