Regular exact categories and algebraic K-theory
K-Theory and Homology
2025-11-11 v6
Abstract
We introduce a new notion of regularity for rings and exact categories and we show important results in algebraic K-theory. In particular we prove a strong vanishing theorem for Nil groups and give an explicit class of groups, much bigger than Waldhausen's class Cl, such that every group in this class has trivial Whitehead groups.
Cite
@article{arxiv.2504.08488,
title = {Regular exact categories and algebraic K-theory},
author = {Pierre Vogel},
journal= {arXiv preprint arXiv:2504.08488},
year = {2025}
}
Comments
New (correct) proofs