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 language | English |
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Article number | 28 |
Journal | Selecta Mathematica, New Series |
Volume | 29 |
Issue number | 2 |
Number of pages | 30 |
ISSN | 1022-1824 |
DOIs | |
Publication status | Published - 2023 |
Bibliographical note
Publisher Copyright:
© 2023, The Author(s).
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