K-theory of finite monoid sets
Maru Sarazola, Brandon T. Shapiro, Inna Zakharevich
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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