D\'evissage for Algebraic K-theory of Small Stable $\infty$-categories
K-Theory and Homology
2026-05-19 v4 Category Theory
Abstract
In this article, we extend the theorem of heart\cite{Barwick_2015}, which implies Quillen's d\'evissage theorem by \cite{Efimov2025}, to generic small stable -categories. To be precise, we establish a necessary and sufficient condition under when an exact functor between stable -categories induces isomorphisms of non-negative -groups when this exact functor satisfies the d\'evissage condition.
Cite
@article{arxiv.2601.14626,
title = {D\'evissage for Algebraic K-theory of Small Stable $\infty$-categories},
author = {Chunhui Wei},
journal= {arXiv preprint arXiv:2601.14626},
year = {2026}
}