Localization, monoid sets and K-theory

Published 7 Sep 2021 in math.KT and math.CT | (2109.03193v1)

Abstract: We develop the K-theory of sets with an action of a pointed monoid (or monoid scheme), analogous to the $K$-theory of modules over a ring (or scheme). In order to form localization sequences, we construct the quotient category of a nice regular category by a Serre subcategory.

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