In this paper we explore conditions on simple non-unital C*-algebras with real rank zero and stable rank one under which their corona algebras are purely infinite and not necessarily simple. In particular, our results allow to characterize when the corona algebra of a simple AF-algebra is purely infinite in terms of continuity conditions on its scale. © THETA, 2011.
|Journal||Journal of Operator Theory|
|Publication status||Published - 1 Dec 2011|
- Corona algebras
- Purely infinite C*-algebras
- Scales in C*-algebras