Quasi-diagonal flows

TL;DR

This paper introduces and explores quasi-diagonal and pseudo-diagonal flows on quasi-diagonal C*-algebras, extending existing results and providing new examples to deepen understanding of their structure.

Contribution

It defines new classes of flows on quasi-diagonal C*-algebras and extends Voiculescu's results from algebras to these flows, highlighting their properties and relationships.

Findings

Quasi-diagonal flows are shown to be a stronger notion than pseudo-diagonal flows.

Various examples of these flows are provided.

Results of Voiculescu are extended to the context of flows on quasi-diagonal C*-algebras.

Abstract

We introduce two notions for flows on quasi-diagonal C*-algebras, quasi-diagonal and pseudo-diagonal flows; the former being apparently stronger than the latter. We derive basic facts about these flows and give various examples. In addition we extend results of Voiculescu from quasi-diagonal C*-algebras to these flows.