K-Stability of Continuous C(X)-Algebras.

A C*-algebra is said to be K-stable if its nonstable K-groups are naturally isomorphic to the usual K-theory groups. In this talk, we shall study continuous C(X)-algebras, each of whose fibers are K-stable. We will show that such an algebra is itself K-stable under the assumption that the underlying space X is compact, metrizable, and of finite covering dimension.