K-theory and derived equivalences
K-Theory and Homology
2007-05-23 v1 Algebraic Topology
Abstract
We show that if two rings have equivalent derived categories then they have the same algebraic K-theory. Similar results are given for G-theory, and for a large class of abelian categories.
Cite
@article{arxiv.math/0209084,
title = {K-theory and derived equivalences},
author = {Daniel Dugger and Brooke Shipley},
journal= {arXiv preprint arXiv:math/0209084},
year = {2007}
}
Comments
22 pages