A categorical approach to cyclic duality
arXiv:0910.4622
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.
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