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The commutative core of a Leavitt path algebra.
Gil-Canto, Cristóbal; Nasr-Isfahani, Alireza (Elsevier, 2018-06-30)
For any unital commutative ring R and for any graph E, we identify the commutative core of the Leavitt path algebra of E with coefficients in R, which is a maximal commutative subalgebra of the Leavitt path algebra. ... -
The cycline subalgebra of a Kumjian-Pask algebra.
Clark, Lisa Orloff; Gil-Canto, Cristóbal; Nasr-Isfahani, Alireza (American Mathematical Society, 2016-11-21)
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 ...