Centers of Leavitt path algebras and their completions
Rings and Algebras
2015-11-05 v2
Abstract
In [8, 9] M. G. Corrales Garcia, D. M. Barquero, C. Martin Gonzalez, M. Siles Molina, J. F Solanilla Hernandez described the center of a Leavitt path algebra and characterized it in terms of the underlying graph. We offer a different characterization of the center. In particular, we prove that the Boolean algebra of central idempotents \ of a Leavitt path algebra of a finite graph is isomorphic to the Boolean algebra of finitary annihilator hereditary subsets of the graph.
Keywords
Cite
@article{arxiv.1507.07439,
title = {Centers of Leavitt path algebras and their completions},
author = {Adel Alahmadi and Hamed Alsulami},
journal= {arXiv preprint arXiv:1507.07439},
year = {2015}
}
Comments
21 pages, 4 figures