Kumjian-Pask algebras of higher-rank graphs
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- by Gonzalo Aranda Pino, John Clark, Astrid an Huef and Iain Raeburn PDF
- Trans. Amer. Math. Soc. 365 (2013), 3613-3641 Request permission
Abstract:
We introduce higher-rank analogues of the Leavitt path algebras, which we call the Kumjian-Pask algebras. We prove graded and Cuntz-Krieger uniqueness theorems for these algebras, and analyze their ideal structure.References
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Additional Information
- Gonzalo Aranda Pino
- Affiliation: Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, 29071 Málaga, Spain
- Email: g.aranda@uma.es
- John Clark
- Affiliation: Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin 9054, New Zealand
- Email: jclark@maths.otago.ac.nz
- Astrid an Huef
- Affiliation: Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin 9054, New Zealand
- MR Author ID: 620419
- Email: astrid@maths.otago.ac.nz
- Iain Raeburn
- Affiliation: Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin 9054, New Zealand
- Email: iraeburn@maths.otago.ac.nz
- Received by editor(s): June 21, 2011
- Received by editor(s) in revised form: October 4, 2011
- Published electronically: February 28, 2013
- Additional Notes: The results in this paper were obtained during a working seminar at the University of Otago. The authors thank the other participants for their comments and input, and especially Jon Brown, Iain Dangerfield and Robbie Hazlewood.
- © Copyright 2013 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 365 (2013), 3613-3641
- MSC (2010): Primary 16W50; Secondary 46L05
- DOI: https://doi.org/10.1090/S0002-9947-2013-05717-0
- MathSciNet review: 3042597