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arXiv · 1803.01075

Functoriality of groupoid quantales. II

Juan Pablo Quijano·Pedro Resende
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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.

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Juan Pablo Quijano, Pedro Resende. 2018-03-02. Functoriality of groupoid quantales. II. https://doi.org/10.1007/s10485-021-09628-y

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