Abstract
ABSTRACT We study BDF theory in the context of (not necessarily simple) purely infinite corona algebras. Let be a nonunital separable simple C*-algebra with standard regularity properties for which is purely infinite (though not necessarily simple). Let be a separable nuclear C*-algebra. We prove a BDF Voiculescu decomposition theorem for maps from to , and use this to prove that is a group. Then, restricting to the case , for some compact metric space X, and has continuous scale, we provide characterizations of the neutral element for .
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