Open Access

# When universal separated graph $C^*$-algebras are 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.

Key words: Edge-colored directed graph, separated graph, $C^*$-algebra, exact.

### 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},
}

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