Regular exact categories and algebraic K-theory

2025/04/11 by Vogel, Pierre
#18E10 #19Dxx #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2504.08488

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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