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arXiv · 2609.01843

Algebraic K-theory of quotient ring spectra

Shay Ben-Moshe
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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 $\geq n{+}1$.

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Shay Ben-Moshe. 2026-09-01. Algebraic K-theory of quotient ring spectra. https://arxiv.org/abs/2609.01843

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