An explicit projective bimodule resolution of a Leavitt path algebra
Rings and Algebras
2017-11-07 v1 K-Theory and Homology
Representation Theory
Abstract
We construct an explicit projective bimodule resolution for the Leavitt path algebra of a row-finite quiver. We prove that the Leavitt path algebra of a row-countable quiver has Hochschild cohomolgical dimension at most one, that is, it is quasi-free in the sense of Cuntz-Quillen. The construction of the resolution relies on an explicit derivation of the Leavitt path algebra.
Cite
@article{arxiv.1711.01876,
title = {An explicit projective bimodule resolution of a Leavitt path algebra},
author = {Xiao-Wu Chen and Huanhuan Li and Zhengfang Wang},
journal= {arXiv preprint arXiv:1711.01876},
year = {2017}
}