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arXiv · 2209.03209

On a sequence of Grothendieck groups

Ádám Gyenge
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Abstract

We show that a well-known exact sequence in K-theory for quotients of triangulated categories descends to numerical K-groups provided that the category, the quotient and the category we take the quotient with has a numerical K-group, and if either the quotient functor preserves compactness or the K-group of the quotient is torsion-free.

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Ádám Gyenge. 2022-09-07. On a sequence of Grothendieck groups. https://arxiv.org/abs/2209.03209

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