Non connective K-theory via universal invariants

Details Non connective K-theory via universal invariants Non connective K-theory via universal invariants

2009-03-22

arxiv.org/abs/0903.3717v2

Compositio Mathematica 147 (2011), 1281-1320

Mathematics

K-Theory and Homology

This is a slight revision in the exposition of the paper previously entitled "Negative K-theory via universal invariants"; hop

Scientific paper

10.1112/S0010437X11005380

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.

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