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oai:riuma.uma.es:10630/305602026-02-03T11:35:23Zcom_10630_2254col_10630_37953

The cycline subalgebra of a Kumjian-Pask algebra. Clark, Lisa Orloff Gil-Canto, Cristóbal Nasr-Isfahani, Alireza Álgebra Let $\Lambda$ be a row-finite higher-rank graph with no sources. We identify a maximal commutative subalgebra $\mathcal{M}$ inside the Kumjian-Pask algebra ${\rm KP}_R(\Lambda)$. We also prove a generalized Cuntz-Krieger uniqueness theorem for Kumjian-Pask algebras which says that a representation of ${\rm KP}_R(\Lambda)$ is injective if and only if it is injective on $\mathcal{M}$. 2024-02-21T07:58:53Z 2024-02-21T07:58:53Z 2024-02-21T07:58:53Z 2016-11-21 journal article Clark, L. O., Gil Canto, C., & Nasr-Isfahani, A. (2016). The cycline subalgebra of a Kumjian-Pask algebra. Proceedings of the American Mathematical Society, 145(5), 1969–1980. https://hdl.handle.net/10630/30560 10.1090/proc/13439 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional American Mathematical Society