A counterexample to vanishing conjectures for negative K-theory
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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