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arXiv · 1303.4133

Non-connective K-theory of relative exact categories

Satoshi Mochizuki
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Abstract

The main objective of this paper is to propose a definition of non-connective K-theory for a wide class of relative exact categories which, in general, do not satisfy the factorization axiom and confirm that it agrees with the non-connective K-theory for exact categories and complicial exact categories with weak equivalences. The main application is to study the topological filtrations of non-connective K-theory of a noetherian commutative ring with unit in terms of Koszul cubes.

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Satoshi Mochizuki. 2013-03-18. Non-connective K-theory of relative exact categories. https://arxiv.org/abs/1303.4133

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