Embedding of exact C^-algebras in the Cuntz algebra _2

By Eberhard Kirchberg, N. C. Phillips. 2000

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A classification of finite simple amenable ${\cal Z}$-stable $C^*$-algebras, I: $C^*$-algebras with generalized tracial rank one. (2018, methodology): “The rapid developments mentioned above include the Kirchberg-Phillips classification ([45], [46], [87]) of purely infinite simple separable amenable C∗-algebras which satisfy the UCT by means of their K-theory.”
Strict comparison and Z-absorption of nuclear C*-algebras (2011, background): “This theorem is one of the technical cornerstones in the proof of Kirchberg’s celebrated embedding theorem for exact C∗-algebras [7], [8].”
Central sequence C*-algebras and tensorial absorption of the Jiang-Su algebra (2012, methodology): “The approach of Matui and Sato has some similarities with the approach used by Phillips and the first named author in their proof in [14] that purely infinite simple separable nuclear C∗-algebras tensorially absorb the Cuntz algebra O∞.”