On the K-theory of regular coconnective rings

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Standard

On the K-theory of regular coconnective rings. / Burklund, Robert; Levy, Ishan.

I: Selecta Mathematica, New Series, Bind 29, Nr. 2, 28, 2023.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Burklund, R & Levy, I 2023, 'On the K-theory of regular coconnective rings', Selecta Mathematica, New Series, bind 29, nr. 2, 28. https://doi.org/10.1007/s00029-023-00833-2

APA

Burklund, R., & Levy, I. (2023). On the K-theory of regular coconnective rings. Selecta Mathematica, New Series, 29(2), [28]. https://doi.org/10.1007/s00029-023-00833-2

Vancouver

Burklund R, Levy I. On the K-theory of regular coconnective rings. Selecta Mathematica, New Series. 2023;29(2). 28. https://doi.org/10.1007/s00029-023-00833-2

Author

Burklund, Robert ; Levy, Ishan. / On the K-theory of regular coconnective rings. I: Selecta Mathematica, New Series. 2023 ; Bind 29, Nr. 2.

Bibtex

@article{7f885bad41a243a3bbf3d7584cc0072e,
title = "On the K-theory of regular coconnective rings",
abstract = "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.",
author = "Robert Burklund and Ishan Levy",
note = "Publisher Copyright: {\textcopyright} 2023, The Author(s).",
year = "2023",
doi = "10.1007/s00029-023-00833-2",
language = "English",
volume = "29",
journal = "Selecta Mathematica, New Series",
issn = "1022-1824",
publisher = "Springer",
number = "2",

}

RIS

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