New York Journal of Mathematics
Volume 22 (2016) 277-291


Yosafat E. P. Pangalela

Realising the Toeplitz algebra of a higher-rank graph as a Cuntz-Krieger algebra

view    print

Published: March 17, 2016
Keywords: Cuntz-Krieger algebra, Toeplitz algebra, higher-rank graph, the Cuntz-Krieger uniqueness theorem, the uniqueness theorem for Toeplitz algebras
Subject: Primary 46L05

For a row-finite higher-rank graph Λ , we construct a higher-rank graph TΛ such that the Toeplitz algebra of Λ is isomorphic to the Cuntz-Krieger algebra of TΛ . We then prove that the higher-rank graph TΛ is always aperiodic and use this fact to give another proof of a uniqueness theorem for the Toeplitz algebras of higher-rank graphs.


This research is part of the author's Ph.D. thesis, supervised by Professor Iain Raeburn and Dr. Lisa Orloff Clark.

Author information

Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin 9054, New Zealand