2015/10/29 by Rohit Dilip Holkar, Holkar, Rohit Dilip
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA
paper · pdf · doi:10.48550/arxiv.1510.08581
21 pages, 5 Figures. Added a new reference ([4]), some typos corrected. An altered version of this article is accepted for publication in the Journal of Operator Theory
arxiv created 2016/10/19 · arxiv updated 2016/10/20
In the previous article, we proved that a topological correspondence (X,λ) from a locally compact groupoid with a Haar system (G,α) to another one, (H,β), produces a C^*-correspondence H(X) from C^*(G,α) to C^*(H,β). In the present article, we describe how to form a composite of two topological correspondences when the bispaces are Hausdorff and second countable in addition to being locally compact.