Cyclic homology with coefficients
K理论与同调
2011-11-09 v2 代数几何
摘要
We propose a category which can serve as the category of coefficients for the cyclic homology HC_*(A) of an associative algebra A over a field k. The construction is categorical in nature, and essentially uses only the tensor category A-bimod of A-bimodules; objects of our category are A-bimodules with an additional structure. We also generalize the construction to a more general tensor k-linear tensor category C instead of A-bimod. We add some remarks about Getzler's version of the Gauss-Manin connection for the periodic cyclic homology HP_*(A).
引用
@article{arxiv.math/0702068,
title = {Cyclic homology with coefficients},
author = {D. Kaledin},
journal= {arXiv preprint arXiv:math/0702068},
year = {2011}
}
备注
LaTeX2e, 28 pages. Final version, to appear in Yu.I. Manin Festschrift. Only very minor revisions compared to v1 (corrected some typos)