Classification of tight $C^{*}$-algebras over the one-point compactification of $\mathbb{N}$

Abstract

We prove a strong classification result for a certain class of C � -algebras with primitive ideal space e N, where e N is the one-point compactification of N. This class contains the class of graph C � -algebras with primitive ideal space e N. Along the way, we prove a universal coefficient theorem with ideal-relatedK-theory for C � -algebras over e N whose 1 fiber has torsion-free K-theory.