Morphisms of locally compact groupoids endowed with Haar systems

Mathematics – Operator Algebras

Scientific paper

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31 pages

Scientific paper

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.

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