Morphisms of locally compact groupoids endowed with Haar systems

2005/11/24 by Buneci, M. R., Stachura, P. · 2 citations
#22A22 #43A22 #46L99 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.math/0511613

Abstract

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

Cited by

• Limits in categories of étale groupoids and pseudogroups
• Graph morphisms as groupoid actors

Related

• Semi etale groupoids and applications
• Inverse Systems of Groupoids, with Applications to Groupoid\n C^*-algebras
• Haar Systems on Equivalent Groupoids
• The orbit space of groupoids whose C^*-algebras are GCR
• Topological construction of C^*-correspondences for groupoid C^*-algebras