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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cycline subalgebras of $k$-graph C*-algebras
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by Dilian Yang PDF
Proc. Amer. Math. Soc. 144 (2016), 2959-2969 Request permission

Abstract:

In this paper, we prove that the cycline subalgbra of a $k$-graph C*-algebra is maximal abelian, and show when it is a Cartan subalgebra (in the sense of Renault).
References
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Additional Information
  • Dilian Yang
  • Affiliation: Department of Mathematics $\&$ Statistics, University of Windsor, 401 Sunset Avenue, Windsor, Ontario N9B 3P4, Canada
  • MR Author ID: 668010
  • Email: dyang@uwindsor.ca
  • Received by editor(s): July 22, 2015
  • Received by editor(s) in revised form: August 24, 2015
  • Published electronically: November 4, 2015
  • Additional Notes: The author was partially supported by an NSERC grant.
  • Communicated by: Adrian Ioana
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 2959-2969
  • MSC (2010): Primary 46L05
  • DOI: https://doi.org/10.1090/proc/12939
  • MathSciNet review: 3487228