A counterexample to vanishing conjectures for negative K-theory

Date

2021

Authors

Neeman, Amnon

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Volume Title

Publisher

Springer

Abstract

In a 2006 article Schlichting conjectured that the negative K–theory of any abelian category must vanish. This conjecture was generalized in a 2019 article by Antieau, Gepner and Heller, who hypothesized that the negative K–theory of any category with a bounded t–structure must vanish. Both conjectures will be shown to be false.

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Citation

Source

Inventiones Mathematicae

Type

Journal article

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DOI

10.1007/s00222-021-01034-4

Restricted until

2099-12-31