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Yosafat E. P. Pangalela
Realising the Toeplitz algebra of a higher-rank graph as a Cuntz-Krieger algebra view print
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| Published: |
March 17, 2016
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| Keywords: |
Cuntz-Krieger algebra, Toeplitz algebra, higher-rank graph, the Cuntz-Krieger uniqueness theorem, the uniqueness theorem for Toeplitz algebras |
| Subject: |
Primary 46L05 |
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Abstract
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.
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| Acknowledgements
This research is part of the author's Ph.D. thesis, supervised by Professor Iain Raeburn and Dr. Lisa Orloff Clark.
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| Author information
Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin 9054, New Zealand
yosafat.pangalela@maths.otago.ac.nz
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