When universal separated graph $C^*$-algebras are exact

Authors

  • Benton L. Duncan Department of Mathematics, North Dakota State University, Fargo, North Dakota, USA

DOI:

https://doi.org/https://doi.org/10.31392/MFAT-npu26_2.2020.05

Keywords:

Edge-colored directed graph, separated graph, $C^*$-algebra, exact

Abstract

We consider when the universal $C^*$-algebras associated to separated graphs are exact. Specifically, for finite separated graphs we show that the universal $C^*$-algebra is exact if and only if the $C^*$-algebra is isomorphic to a graph $C^*$-algebra which occurs precisely when the universal and reduced $C^*$-algebras of the separated graph are isomorphic.

Downloads

Published

2020-06-25

Issue

Vol. 26 No. 2 (2020)

Section

Articles

How to Cite

Duncan, Benton L. “When Universal Separated Graph $C^*$-Algebras Are Exact”. Methods of Functional Analysis and Topology, vol. 26, no. 2, June 2020, pp. 126-40, https://doi.org/https://doi.org/10.31392/MFAT-npu26_2.2020.05.