A Generalization of Renault's Theorem for Cartan Subalgebras
Operator Algebras
2022-02-01 v2
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.
Cite
@article{arxiv.2101.03265,
title = {A Generalization of Renault's Theorem for Cartan Subalgebras},
author = {Ali Imad Raad},
journal= {arXiv preprint arXiv:2101.03265},
year = {2022}
}
Comments
10 pages, added references, simplified proof for Prop. 3.3, updated author contact info, fixed typos. Accepted for publication in Proc. Amer. Math. Soc