A categorical approach to cyclic duality
K-Theory and Homology
2015-03-13 v2 Category Theory
Abstract
The aim of this paper is to provide a unifying categorical framework for the many examples of para-(co)cyclic modules arising from Hopf cyclic theory. Functoriality of the coefficients is immediate in this approach. A functor corresponding to Connes's cyclic duality is constructed. Our methods allow, in particular, to extend Hopf cyclic theory to (Hopf) bialgebroids.
Keywords
Cite
@article{arxiv.0910.4622,
title = {A categorical approach to cyclic duality},
author = {Gabriella Böhm and Dragos Stefan},
journal= {arXiv preprint arXiv:0910.4622},
year = {2015}
}
Comments
LaTeX 2e, 47 pages, lots of figures. v2: the same mathematical content as in v1 is presented via string diagrams. Final version to appear in J. Noncommutative Geometry