A categorical approach to cyclic duality

Details A categorical approach to cyclic duality A categorical approach to cyclic duality

2009-10-24

arxiv.org/abs/0910.4622v2

Mathematics

K-Theory and Homology

LaTeX 2e, 47 pages, lots of figures. v2: the same mathematical content as in v1 is presented via string diagrams. Final versio

Scientific paper

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.

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