Groupoid quantales: A non-étale setting

Authors
Publication date 2011
Journal Journal of Pure and Applied Algebra
Volume | Issue number 215 | 8
Pages (from-to) 1945-1957
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
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.
Document type Article
Language English
Published at https://doi.org/10.1016/j.jpaa.2010.11.005
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