Leavitt $R$-algebras over countable graphs embed into $L_{2,R}$
Rings and Algebras
2016-03-14 v3 Operator Algebras
Abstract
For a commutative ring with unit we show that the Leavitt path algebra of a graph embeds into precisely when is countable. Before proving this result we prove a generalised Cuntz-Krieger Uniqueness Theorem for Leavitt path algebras over .
Cite
@article{arxiv.1503.08705,
title = {Leavitt $R$-algebras over countable graphs embed into $L_{2,R}$},
author = {Nathan Brownlowe and Adam P W Sørensen},
journal= {arXiv preprint arXiv:1503.08705},
year = {2016}
}
Comments
17 pages. At the request of a referee the previous version of this paper has been split into two papers. This version is the first of these papers. The second will also be uploaded to the arXiv