RT Journal Article
T1 The cycline subalgebra of a Kumjian-Pask algebra.
A1 Clark, Lisa Orloff
A1 Gil-Canto, Cristóbal
A1 Nasr-Isfahani, Alireza
K1 Álgebra
AB 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 $\mathcal{M}$.
PB American Mathematical Society
YR 2016
FD 2016-11-21
LK https://hdl.handle.net/10630/30560
UL https://hdl.handle.net/10630/30560
LA eng
NO 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.
NO The  first author is supported by the Marsden grant 15-UOO-071 from the Royal Society of New Zealand and a University of Otago Research Grant. The second author was partially supported by the Spanish MEC and Fondos FEDER through project MTM2013-41208-P, and by the Junta de Andalucía and Fondos FEDER jointly, through project FQM-7156. The research of the third author was in part supported by a grant from IPM (No. 94170419).
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 4 mar 2026