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arXiv · 2601.14626

D\'evissage for Algebraic K-theory of Small Stable $\infty$-categories

Chunhui Wei
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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 $\infty$-categories. To be precise, we establish a necessary and sufficient condition under when an exact functor between stable $\infty$-categories induces isomorphisms of non-negative $K$-groups when this exact functor satisfies the d\'evissage condition.

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Chunhui Wei. 2026-01-21. D\'evissage for Algebraic K-theory of Small Stable $\infty$-categories. https://arxiv.org/abs/2601.14626

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