Trace theories and localization
K-Theory and Homology
2015-03-20 v2
Abstract
We show how one can twist the definition of Hochschild homology of an algebra or a DG algebra by inserting a possibly non-additive trace functor. We then prove that many of the usual properties of Hochschild homology survive such a generalization. In some cases this even includes Keller's Localization Theorem.
Cite
@article{arxiv.1308.3743,
title = {Trace theories and localization},
author = {D. Kaledin},
journal= {arXiv preprint arXiv:1308.3743},
year = {2015}
}
Comments
LaTeX, 49 pages. Final version. Minor updates, mostly in the introduction