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• W2018951524 abstract "For a certain class of extensions e:0→B→E→A→0 of C*-algebras in which B and A belong to classifiable classes of C*-algebras, we show that the functor which sends e to its associated six term exact sequence in K-theory and the positive cones of K0(B) and K0(A) is a classification functor. We give two independent applications addressing the classification of a class of C*-algebras arising from substitutional shift spaces on one hand and of graph algebras on the other. The former application leads to the answer of a question of Carlsen and the first named author concerning the completeness of stabilized Matsumoto algebras as an invariant of flow equivalence. The latter leads to the first classification result for nonsimple graph C∗-algebras." @default.
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• W2018951524 date "2009-12-01" @default.
• W2018951524 modified "2023-10-16" @default.
• W2018951524 title "Classification of extensions of classifiable <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:msup><mml:mi>C</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:math>-algebras" @default.
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• W2018951524 doi "https://doi.org/10.1016/j.aim.2009.07.014" @default.
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