A Generalization of Renault's Theorem for Cartan Subalgebras

A Generalization of Renault's Theorem for Cartan Subalgebras

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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Veröffentlicht in:arXiv.org 2022-01
1. Verfasser: Raad, Ali Imad
Format: Artikel
Sprache:eng
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Theorems
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Zusammenfassung: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.
ISSN:2331-8422