Cycline subalgebras of $k$-graph C*-algebras
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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