Decomposable Leavitt path algebras for arbitrary graphs
Rings and Algebras
2017-10-12 v1
Abstract
For any field and for a completely arbitrary graph , we characterize the Leavitt path algebras that are indecomposable (as a direct sum of two-sided ideals) in terms of the underlying graph. When the algebra decomposes, it actually does so as a direct sum of Leavitt path algebras for some suitable graphs. Under certain finiteness conditions, a unique indecomposable decomposition exists.
Cite
@article{arxiv.1603.04985,
title = {Decomposable Leavitt path algebras for arbitrary graphs},
author = {Gonzalo Aranda Pino and Alireza Nasr-Isfahani},
journal= {arXiv preprint arXiv:1603.04985},
year = {2017}
}
Comments
Forum Math. (27)2015. arXiv admin note: text overlap with arXiv:1207.3466 by other authors