Cyclic Cohomology of Crossed Coproduct Coalgebras
R. Akbarpour, M. Khalkhali
Abstract
We extend our work in~rm01 to the case of Hopf comodule coalgebras. We introduce the cocylindrical module C H, where H is a Hopf algebra with bijective antipode and C is a Hopf comodule coalgebra over H. We show that there exists an isomorphism between the cocyclic module of the crossed coproduct coalgebra C > H and Δ(C H) , the cocyclic module related to the diagonal of C H. We approximate HC(C > H) by a spectral sequence and we give an interpretation for E0, E1 and E2 terms of this spectral sequence.
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