Classification of $mathcal {O}_infty $-Stable $C^*$-Algebras

Present a proof of Kirchberg's classification theorem: two separable, nuclear, O?-stable C?-algebras are stably isomorphic if and only if they are idealrelated KK-equivalent. In particular, this provides a more elementary proof of the KirchbergPhillips theorem which is isolated in the paper to increase readability of this important special case. See more