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K-theory of finite monoid sets
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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BibTeX
@misc{sarazola2026ktheory,
title = {{$K$-theory of finite monoid sets}},
author = {Maru Sarazola and Brandon T. Shapiro and Inna Zakharevich},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05265},
eprint = {2611.05265},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05265},
}
RIS
TY - UNPB
TI - K-theory of finite monoid sets
AU - Maru Sarazola
AU - Brandon T. Shapiro
AU - Inna Zakharevich
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05265
UR - https://arxiv.org/abs/2611.05265
AB - 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.
ER -