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.
Originalsprog | Engelsk |
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Artikelnummer | 28 |
Tidsskrift | Selecta Mathematica, New Series |
Vol/bind | 29 |
Udgave nummer | 2 |
Antal sider | 30 |
ISSN | 1022-1824 |
DOI | |
Status | Udgivet - 2023 |
Bibliografisk note
Funding Information:
Ishan Levy is supported by the NSF Graduate Research Fellowship under Grant No. 1745302 .
Publisher Copyright:
© 2023, The Author(s).
ID: 359611166