Stable rank of Leavitt path algebras of arbitrary graphs
Rings and Algebras
2012-08-22 v1
Abstract
The stable rank of Leavitt path algebras of row-finite graphs was computed by Ara and Pardo. In this paper we extend this for an arbitrary directed graph. In some parts, we proceed our computation as the row-finite case while in some parts we use the knowledge about row-finite setting by applying the desingularizing method due to Drinen and Tomforde. In particular, we characterize purely infinite simple quotients of a Leavitt path algebra.
Keywords
Cite
@article{arxiv.1208.4141,
title = {Stable rank of Leavitt path algebras of arbitrary graphs},
author = {Hossein Larki and Abdolhamid Riazi},
journal= {arXiv preprint arXiv:1208.4141},
year = {2012}
}