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Algebraic K-theory of quotient ring spectra
Abstract
We study the algebraic K-theory of quotients of even ring spectra. Building on Efimov's work, we prove that the limit of the K-theories of these quotients is the continuous K-theory of nuclear modules. For quotients by elements in the height n chromatic ideal, we show that this agrees with the K-theory of the ring spectrum, after chromatic localization at heights ≥ n+1.
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BibTeX
@misc{benmoshe2026algebraic,
title = {{Algebraic K-theory of quotient ring spectra}},
author = {Shay Ben-Moshe},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01843},
eprint = {2609.01843},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01843},
}
RIS
TY - UNPB
TI - Algebraic K-theory of quotient ring spectra
AU - Shay Ben-Moshe
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01843
UR - https://arxiv.org/abs/2609.01843
AB - We study the algebraic K-theory of quotients of even ring spectra. Building on Efimov's work, we prove that the limit of the K-theories of these quotients is the continuous K-theory of nuclear modules. For quotients by elements in the height n chromatic ideal, we show that this agrees with the K-theory of the ring spectrum, after chromatic localization at heights ≥ n+1.
ER -