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An abstract Voiculescu–Brown–Douglas–Fillmore absorption theorem

An abstract Voiculescu–Brown–Douglas–Fillmore absorption theorem

A common generalization is given of what are often referred to as the Weyl-von Neumann theorems of Voiculescu, Kasparov, Kirchberg, and, more recently, Lin.(These in turn extend a result of Brown, Douglas, and Fillmore.)More precisely, an intrinsic characterization is obtained of those extensions of one separable C * -algebra by …