Quasi-diagonal flows, III

We have started to study quasi-diagonal flows (or strongly continuous one-parameter automorphism groups) on C⁎-algebras, which are approximable by flows on matrix algebras in some sense and include approximately inner flows on quasi-diagonal C⁎-algebras. We shall show quasi-diagonal flows can be literally approximated by flows on finite-dimensional C⁎-algebras on some representation space if they are on exact C⁎-algebras, extending similar results by Dadarlat and Brown on exact C⁎-algebras.