Topological higher-rank graphs and the $C^*$-algebras of topological 1-graphs
Abstract
Description
We introduce the notion of a topological higher-rank graph, a unified generalization of the higher-rank graph and the topological graph. Using groupoid techniques, we define the Toeplitz and Cuntz-Krieger algebras of topological higher-rank graphs, and show that the $C^*$-algebras defined are coherent with the existing theory.
13 pages
13 pages