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arXiv · 2109.03193

Localization, monoid sets and K-theory

Ian Coley·Charles Weibel
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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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Ian Coley, Charles Weibel. 2021-09-07. Localization, monoid sets and K-theory. https://arxiv.org/abs/2109.03193

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