On the K-theory of regular coconnective rings

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We show that for a coconnective ring spectrum satisfying regularity and flatness assumptions, its algebraic K-theory agrees with that of its π. 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 An-invariance of K-theory, and an understanding of the K-theory of categories of unipotent local systems.

Original languageEnglish
Article number28
JournalSelecta Mathematica, New Series
Volume29
Issue number2
Number of pages30
ISSN1022-1824
DOIs
Publication statusPublished - 2023

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© 2023, The Author(s).

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