Universal suspension via Non-commutative motives
K-Theory and Homology
2010-03-24 v1 Algebraic Geometry
Algebraic Topology
Abstract
In this article we further the study of non-commutative motives. Our main result is the construction of a simple model, given in terms of infinite matrices, for the suspension in the triangulated category of non-commutative motives. As a consequence, this simple model holds in all the classical invariants such as Hochschild homology, cyclic homology and its variants (periodic, negative, ...), algebraic K-theory, topological Hochschild homology, topological cyclic homology, ...
Cite
@article{arxiv.1003.4425,
title = {Universal suspension via Non-commutative motives},
author = {Goncalo Tabuada},
journal= {arXiv preprint arXiv:1003.4425},
year = {2010}
}
Comments
14 pages