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arXiv · 0807.3859

Groupoid actions as quantale modules

Pedro Resende
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Abstract

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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Pedro Resende. 2011-03-28. Groupoid actions as quantale modules. https://arxiv.org/abs/0807.3859

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