# Trace theories and localization

@article{Borisovich2013TraceTA,
title={Trace theories and localization},
author={Kaledin Dmitry Borisovich},
journal={arXiv: K-Theory and Homology},
year={2013}
}
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.
14 Citations
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