Morphisms of locally compact groupoids endowed with Haar systems

Abstract

The purpose of this paper is extend the notion of morphism of groupoids introduced by Zakrzewski to locally compact $\sigma$-compact groupoids endowed with Haar systems and to use the extension to construct a covariant functor from this category to a category of $C^{\ast }$-algebras in the sense of Woronowicz.

31 pages

References in corpus (1)

• Differential groupoids and $C^{\ast }$-algebras

Cited by in corpus (7)

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• Inverse semigroup actions as groupoid actions
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• Functoriality of groupoid quantales. II