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arXiv · 2611.05265

$K$-theory of finite monoid sets

Maru Sarazola·Brandon T. Shapiro·Inna Zakharevich
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Abstract

In this paper we classify the algebraic K-theory of sets equipped with an action by a finite abelian monoid. The main tool developed for this purpose is an Orbit-Stabilizer Theorem, which gives a decomposition of monoid sets analogous to the decomposition given by the Orbit-Stabilizer Theorem for G-sets.

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Maru Sarazola, Brandon T. Shapiro, Inna Zakharevich. 2026-11-03. $K$-theory of finite monoid sets. https://arxiv.org/abs/2611.05265

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