Approximated by finite-dimensional homomorphisms into Simple C*-Algebras with Tracial Rank One

摘要

We discuss when a unital homomorphism {\phi} : C(X) \rightarrow A can beapproximated by finite-dimensional homomorphisms, where X is a compact metricspace and A is unital simple C*-algebra with tracial rank one. In this paper,we will give a necessary and sufficient condition.