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arXiv · 2504.08488

Regular exact categories and algebraic K-theory

Pierre Vogel
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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.

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Pierre Vogel. 2025-04-11. Regular exact categories and algebraic K-theory. https://arxiv.org/abs/2504.08488

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