Purely infinite corona algebras and extensions
Purely infinite corona algebras and extensions
We classify all essential extensions of the form 0 \rightarrow \mathcal{B} \rightarrow \mathcal{D} \rightarrow C(X) \rightarrow 0 where \mathcal{B} is a nonunital, simple, separable, finite, real rank zero, \mathcal{Z} -stable C^* -algebra with continuous scale, and where X is a finite CW complex. In fact, we prove that there is …