Projection lifting from the corona algebra using UCT

Abstract

In this paper we consider the projection lifting from the corona algebra of C(X)⊗B where X is a compact, Hausdorff, finite dimensional space and B is either the algebra of compact operators on a separable infinite dimensional Hilbert space or a stable Kirchberg algebra whose multiplier algebra has real rank zero. Assuming a geometric condition on the projection, we suggest a new approach to the projection lifting using major classification results of continuous fields of C⁎-algebras.