Functoriality of groupoid quantales. II
Category Theory
2021-09-06 v2 Rings and Algebras
Abstract
Taking advantage of the quantale-theoretic description of \'etale groupoids we study principal bundles, Hilsum-Skandalis maps, and Morita equivalence in terms of modules on inverse quantal frames. The Hilbert module description of quantale sheaves leads naturally to a formulation of Morita equivalence in terms of bimodules that resemble imprimitivity bimodules of C*-algebras.
Cite
@article{arxiv.1803.01075,
title = {Functoriality of groupoid quantales. II},
author = {Juan Pablo Quijano and Pedro Resende},
journal= {arXiv preprint arXiv:1803.01075},
year = {2021}
}
Comments
52 pages. Version 2 contains some improvements in presentation, and a fifth item was added to Corollary 5.20