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


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.

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TitleWhen universal separated graph $C^*$-algebras are exact
SourceMethods Funct. Anal. Topology, Vol. 26 (2020), no. 2, 126-140
MathSciNet   MR4127610
Milestones  Received 17.01.2018; Revised 21.01.2020
CopyrightThe Author(s) 2020 (CC BY-SA)

Authors Information

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

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Benton L. Duncan, When universal separated graph $C^*$-algebras are exact, Methods Funct. Anal. Topology 26 (2020), no. 2, 126-140.


@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 = {},


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