科研之友
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摘要
We classify all essential extensions of the form @@@ 0 -> W -> D -> A -> 0, @@@ where W is the unique separable simple C*-algebra with a unique tracial state, which is KK-contractible and has finite nuclear dimension, and A is a separable amenable W-embeddable C*-algebra, which satisfies the Universal Coefficient Theorem (UCT). We actually prove more general results. We also classify a class of amenable C*-algebras, which have only one proper closed ideal W.
