On the K-theory of regular coconnective rings
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On the K-theory of regular coconnective rings. / Burklund, Robert; Levy, Ishan.
In: Selecta Mathematica, New Series, Vol. 29, No. 2, 28, 2023.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - On the K-theory of regular coconnective rings
AU - Burklund, Robert
AU - Levy, Ishan
N1 - Publisher Copyright: © 2023, The Author(s).
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85150210899&partnerID=8YFLogxK
U2 - 10.1007/s00029-023-00833-2
DO - 10.1007/s00029-023-00833-2
M3 - Journal article
AN - SCOPUS:85150210899
VL - 29
JO - Selecta Mathematica, New Series
JF - Selecta Mathematica, New Series
SN - 1022-1824
IS - 2
M1 - 28
ER -
ID: 359611166