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K-theory of admissible
Zariski–Riemann spaces
Christian Dahlhausen |
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Vol. 8 (2023), No. 1, 1–23
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DOI: 10.2140/akt.2023.8.1
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Abstract |
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We study relative algebraic K-theory of admissible Zariski–Riemann spaces and prove that it is equivalent to relative G-theory and satisfies homotopy invariance. Moreover, we provide an example of a nonnoetherian abelian category whose negative K-theory vanishes. |
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Keywords
K-theory, Zariski–Riemann spaces
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Mathematical Subject Classification
Primary: 19D35, 19E08
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Milestones
Received: 26 March 2021
Revised: 12 January 2023
Accepted: 30 January 2023
Published: 1 May 2023
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Authors |
| Christian Dahlhausen | |
| Mathematisches Institut Universität Heidelberg Heidelberg Germany |
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| © 2023 MSP (Mathematical Sciences Publishers). |
