Non connective K-theory via universal invariants
K-Theory and Homology
2019-02-20 v2 Category Theory
Abstract
In this article, we further the study of higher K-theory of dg categories via universal invariants, initiated by the second named author. Our main result is the co-representability of non-connective K-theory by the base ring in the universal localizing motivator. As an application, we obtain for free higher Chern characters, resp. higher trace maps, e.g. from non-connective K-theory to cyclic homology, resp. to topological Hochschild homology.
Keywords
Cite
@article{arxiv.0903.3717,
title = {Non connective K-theory via universal invariants},
author = {Denis-Charles Cisinski and Goncalo Tabuada},
journal= {arXiv preprint arXiv:0903.3717},
year = {2019}
}
Comments
This is a slight revision in the exposition of the paper previously entitled "Negative K-theory via universal invariants"; hopefully for the best