On the K-theory of regular coconnective rings
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29_2023_Article_833.pdf
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639.87 KB
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Author(s)
Burklund, Robert
Levy, Ishan
Date Issued
March 8, 2023
Publisher
Springer International Publishing
Citation
Selecta Mathematica. 2023 Mar 08;29(2):28
Version
Final published version
Abstract
Abstract
We show that for a coconnective ring spectrum satisfying regularity and flatness assumptions, its algebraic K-theory agrees with that of its
$$\pi _0$$
π
0
. We prove this as a consequence of a more general devissage result for stable infinity categories. Applications of our result include giving general conditions under which K-theory preserves pushouts, generalizations of
$$\mathbb {A}^n$$
A
n
-invariance of K-theory, and an understanding of the K-theory of categories of unipotent local systems.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s00029-023-00833-2
