The reductive Borel–Serre compactification as a model for unstable algebraic K-theory

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Standard

The reductive Borel–Serre compactification as a model for unstable algebraic K-theory. / Clausen, Dustin; Jansen, Mikala Ørsnes.

I: Selecta Mathematica, New Series, Bind 30, Nr. 1, 10, 2024, s. 1-93.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Clausen, D & Jansen, MØ 2024, 'The reductive Borel–Serre compactification as a model for unstable algebraic K-theory', Selecta Mathematica, New Series, bind 30, nr. 1, 10, s. 1-93. https://doi.org/10.1007/s00029-023-00900-8

APA

Clausen, D., & Jansen, M. Ø. (2024). The reductive Borel–Serre compactification as a model for unstable algebraic K-theory. Selecta Mathematica, New Series, 30(1), 1-93. [10]. https://doi.org/10.1007/s00029-023-00900-8

Vancouver

Clausen D, Jansen MØ. The reductive Borel–Serre compactification as a model for unstable algebraic K-theory. Selecta Mathematica, New Series. 2024;30(1):1-93. 10. https://doi.org/10.1007/s00029-023-00900-8

Author

Clausen, Dustin ; Jansen, Mikala Ørsnes. / The reductive Borel–Serre compactification as a model for unstable algebraic K-theory. I: Selecta Mathematica, New Series. 2024 ; Bind 30, Nr. 1. s. 1-93.

Bibtex

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title = "The reductive Borel–Serre compactification as a model for unstable algebraic K-theory",
abstract = "Let A be an associative ring and M a finitely generated projective A-module. We introduce a category RBS (M) and prove several theorems which show that its geometric realisation functions as a well-behaved unstable algebraic K-theory space. These categories RBS (M) naturally arise as generalisations of the exit path ∞ -category of the reductive Borel–Serre compactification of a locally symmetric space, and one of our main techniques is to find purely categorical analogues of some familiar structures in these compactifications.",
author = "Dustin Clausen and Jansen, {Mikala {\O}rsnes}",
note = "Publisher Copyright: {\textcopyright} 2023, The Author(s).",
year = "2024",
doi = "10.1007/s00029-023-00900-8",
language = "English",
volume = "30",
pages = "1--93",
journal = "Selecta Mathematica, New Series",
issn = "1022-1824",
publisher = "Springer",
number = "1",

}

RIS

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T1 - The reductive Borel–Serre compactification as a model for unstable algebraic K-theory

AU - Clausen, Dustin

AU - Jansen, Mikala Ørsnes

N1 - Publisher Copyright: © 2023, The Author(s).

PY - 2024

Y1 - 2024

N2 - Let A be an associative ring and M a finitely generated projective A-module. We introduce a category RBS (M) and prove several theorems which show that its geometric realisation functions as a well-behaved unstable algebraic K-theory space. These categories RBS (M) naturally arise as generalisations of the exit path ∞ -category of the reductive Borel–Serre compactification of a locally symmetric space, and one of our main techniques is to find purely categorical analogues of some familiar structures in these compactifications.

AB - Let A be an associative ring and M a finitely generated projective A-module. We introduce a category RBS (M) and prove several theorems which show that its geometric realisation functions as a well-behaved unstable algebraic K-theory space. These categories RBS (M) naturally arise as generalisations of the exit path ∞ -category of the reductive Borel–Serre compactification of a locally symmetric space, and one of our main techniques is to find purely categorical analogues of some familiar structures in these compactifications.

U2 - 10.1007/s00029-023-00900-8

DO - 10.1007/s00029-023-00900-8

M3 - Journal article

AN - SCOPUS:85180491183

VL - 30

SP - 1

EP - 93

JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

SN - 1022-1824

IS - 1

M1 - 10

ER -

ID: 377989678