The ideal structure of Cuntz–Krieger algebras

We construct a universal Cuntz–Krieger algebra AOA, which is isomorphic to the usual Cuntz–Krieger algebra OA when A satisfies condition $(I)$ of Cuntz and Krieger. The Cuntz classification of ideals in OA when A satisfies condition $(II)$ extends to a classification of the gauge invariant ideals in AOA. We use this to describe the topology on the primitive ideal space of AOA.