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. © 2012 Elsevier Inc. All rights reserved.