Groupoid quantales: A non-étale setting

Alessandra Palmigiano*, Riccardo Re

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

We establish a bijective correspondence involving a class of unital involutive quantales and a class of groupoids whose space of units is a sober space. This class includes equivalence relations that arise from group actions. The resulting axiomatization of the class of quantales, as well as the correspondence defined here, extend the theory of étale groupoids and their quantales (Resende (2007) [10]) to a point-set, non-étale setting.

Original languageEnglish
Pages (from-to)1945-1957
Number of pages13
JournalJournal of Pure and Applied Algebra
Volume215
Issue number8
DOIs
Publication statusPublished - 1 Aug 2011
Externally publishedYes

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