2008/07/24 by Pedro Resende, Resende, Pedro · 1 citation
Mathematics · #06D22 #06F07 #18B25 #18F20 #22A22 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #math.CT #math.RA #msc:06D22 #msc:06F07 #msc:18B25 #msc:18F20 #msc:22A22
paper · pdf · doi:10.48550/arxiv.0807.3859
This preprint has been withdrawn because its contents are now included in version 3 of arXiv:0807.4848
openalex publication_date 2008/07/24 · arxiv created 2011/03/28 · arxiv updated 2011/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For an arbitrary localic etale groupoid G we provide simple descriptions, in terms of modules over the quantale O(G) of the groupoid, of the continuous actions of G, including actions on open maps and sheaves. The category of G-actions is isomorphic to a corresponding category of O(G)-modules, and as a corollary we obtain a new quantale based representation of etendues.