Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

Request Permissions   Purchase Content 
 

 

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


Author: Dilian Yang
Journal: Proc. Amer. Math. Soc. 144 (2016), 2959-2969
MSC (2010): Primary 46L05
Published electronically: November 4, 2015
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 46L05

Retrieve articles in all journals with MSC (2010): 46L05


Additional Information

Dilian Yang
Affiliation: Department of Mathematics $&$ Statistics, University of Windsor, 401 Sunset Avenue, Windsor, Ontario N9B 3P4, Canada
Email: dyang@uwindsor.ca

DOI: https://doi.org/10.1090/proc/12939
Keywords: $k$-graph algebra, cycline algebra, Cartan algebra, MASA, conditional expectation
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
Article copyright: © Copyright 2015 American Mathematical Society