Filtered K-theory for graph algebras
Rings and Algebras
2021-09-20 v1 Operator Algebras
Abstract
We introduce filtered algebraic -theory of a ring relative to a sublattice of ideals. This is done in such a way that filtered algebraic -theory of a Leavitt path algebra relative to the graded ideals is parallel to the gauge invariant filtered -theory for graph -algebras. We apply this to verify the Abrams-Tomforde conjecture for a large class of finite graphs.
Cite
@article{arxiv.1610.02232,
title = {Filtered K-theory for graph algebras},
author = {Søren Eilers and Gunnar Restorff and Efren Ruiz and Adam P. W. Sørensen},
journal= {arXiv preprint arXiv:1610.02232},
year = {2021}
}
Comments
16 pages