An abstract Voiculescu–Brown–Douglas–Fillmore absorption theorem

By G. Elliott, D. Kučerovský. 2001

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Subalgebras of simple AF-algebras (2018, methodology): “By [46], qφ is a purely large extension, and hence, by the main result of [30], qφ is unitally nuclearly absorbing as an extension.”
STRUCTURE OF NUCLEAR C*-ALGEBRAS: FROM QUASIDIAGONALITY TO CLASSIFICATION AND BACK AGAIN (2017, result): “8 In 2017, Gabe generalised the theorem above to the situation whereA is only assumed to be exact (but still satisfying the UCT), and the trace is amenable. In 2017, Schafhauser gave a different, and shorter, proof, which replaces the stable uniqueness theorem of Dadarlat and Eilers [2002] by a resu”
The Corona Factorization property, Stability, and the Cuntz semigroup of a C*-algebra (2009, methodology): “[12] Kucerovsky, D. and Ng, P. W., S-regularity and the corona factorization property, Math.”