We construct the strong weight complex functor for a stable infinity-category equipped with a bounded weight structure . Along the way we prove that is determined by the infinity-categorical heart of . This allows us to compare the K-theory of and the K-theory of , the classical heart of particular, we prove that are isomorphisms for .
Cite this article
Vladimir Sosnilo, Theorem of the Heart in Negative K-Theory for Weight Structures. Doc. Math. 24 (2019), pp. 2137–2158DOI 10.4171/DM/722