Non-connective K- and Nil-spectra of additive categorie
K-Theory and Homology
2013-09-05 v2
Abstract
We present an elementary construction of the non-connective algebraic K-theory spectrum associated to an additive category following the contracted functor approach due to Bass. It comes with a universal property that easily allows us to identify it with other constructions, for instance with the one of Pedersen-Weibel in terms of Z^i-graded objects and bounded homomorphisms.
Keywords
Cite
@article{arxiv.1303.1272,
title = {Non-connective K- and Nil-spectra of additive categorie},
author = {Wolfgang Lueck and Wolfgang Steimle},
journal= {arXiv preprint arXiv:1303.1272},
year = {2013}
}
Comments
31 pages, to appear in the Proceedings of the Fourth Arolla Conference on Algebraic Topology 2012, Contemporary Mathematics, American Mathematical Society, Providence, RI