On tracial approximation

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On the classification of simple amenable C*-algebras with finite decomposition rank (2015, background): “ap C 1 → Cis an embedding, it follows that the map C 1 → Ais also an embedding. By (2.12), (2.13), and (2.3), one then has kφ∗ ◦ψ∗(fˆ)− fˆk∞ <ε, f∈ F, as desired. Recall that Deﬁnition 2.11 ([15], [8]). Let S be a class of unital C*-algebras. A C*-algebra Ais said to be tracially approximated by ”
Lifting KK-elements, asymptotic unitary equivalence and classification of simple C∗-algebras (2008, background): “There are interesting simple amenable C*-algebras with stable rank one which do not have tracial rank zero or one and some classification theorem have been established too (see for example [7], [6], [20] and [5]).”
A classification of finite simple amenable ${\cal Z}$-stable $C^*$-algebras, I: $C^*$-algebras with generalized tracial rank one. (2018, unknown): “2 of [36]).”
Minimal Dynamics and K-Theoretic Rigidity: Elliott’s Conjecture (2009, background): “It refers to the concept of TAS algebras (where S is some class of separable, unital C-algebras), which generalizes that of TAF algebras and was studied in detail in [5].”
Classification of finite simple amenable ${\cal Z}$-stable $C^*$-algebras (2014, methodology): “3 of [26] (or a similar result in [29]).”