The commutative core of a Leavitt path algebra
Rings and Algebras
2018-12-18 v3
Abstract
For any unital commutative ring and for any graph , we identify the commutative core of the Leavitt path algebra of with coefficients in , which is a maximal commutative subalgebra of the Leavitt path algebra. Furthermore, we are able to characterize injectivity of representations which gives a generalization of the Cuntz-Krieger uniqueness theorem.
Keywords
Cite
@article{arxiv.1510.03992,
title = {The commutative core of a Leavitt path algebra},
author = {Cristóbal Gil Canto and Alireza Nasr-Isfahani},
journal= {arXiv preprint arXiv:1510.03992},
year = {2018}
}
Comments
19 pages; revised version; to appear in Journal of Algebra