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.

OriginalsprogEngelsk
Artikelnummer28
TidsskriftSelecta Mathematica, New Series
Vol/bind29
Udgave nummer2
Antal sider30
ISSN1022-1824
DOI
StatusUdgivet - 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).

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