Groupoid actions as quantale modules

Details Groupoid actions as quantale modules Groupoid actions as quantale modules

2008-07-24

arxiv.org/abs/0807.3859v2

Mathematics

Category Theory

This preprint has been withdrawn because its contents are now included in version 3 of arXiv:0807.4848

Scientific paper

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.

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