We prove that the category of differential graded algebras is monoidally equivalent to the category of left graded comodule algebras over a certain graded Hopf algebra. After calculating the graded Hopf-cyclic cohomology of that graded Hopf algebra, we construct cyclic cocycles on any graded differential algebra with a closed graded trace by means of a characteristic homomorphism.
Cite this article
Jiao Zhang, A “natural” graded Hopf-algebra and its graded Hopf-cyclic cohomology. J. Noncommut. Geom. 6 (2012), no. 2, pp. 389–405DOI 10.4171/JNCG/95