Topological higher-rank graphs and the $C^*$-algebras of topological 1-graphs

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102276We 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 pagesOperator Algebras46L05Topological higher-rank graphs and the $C^*$-algebras of topological 1-graphstext