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.
Key words: Edge-colored directed graph, separated graph, $C^*$-algebra, exact.
Full Text
Article Information
| Title | When universal separated graph $C^*$-algebras are exact |
| Source | Methods Funct. Anal. Topology, Vol. 26 (2020), no. 2, 126-140 |
| DOI | 10.31392/MFAT-npu26_2.2020.05 |
| MathSciNet |
MR4127610 |
| Milestones | Received 17.01.2018; Revised 21.01.2020 |
| Copyright | The Author(s) 2020 (CC BY-SA) |
Authors Information
Benton L. Duncan
Department of Mathematics, North Dakota State University, Fargo, North Dakota, USA
Citation Example
Benton L. Duncan, When universal separated graph $C^*$-algebras are exact, Methods Funct. Anal. Topology 26
(2020), no. 2, 126-140.
BibTex
@article {MFAT1345,
AUTHOR = {Benton L. Duncan},
TITLE = {When universal separated graph $C^*$-algebras are exact},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {26},
YEAR = {2020},
NUMBER = {2},
PAGES = {126-140},
ISSN = {1029-3531},
MRNUMBER = {MR4127610},
DOI = {10.31392/MFAT-npu26_2.2020.05},
URL = {http://mfat.imath.kiev.ua/article/?id=1345},
}
