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Functoriality of groupoid quantales. II
[article]
2018
arXiv
pre-print
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.
arXiv:1803.01075v2
fatcat:q6ombfpe5rahphgzhgs3tm5gly