Explicit Realization of Hopf Cyclic Cohomology Classes of Bicrossed Product Hopf Algebras

الأصل · EN

We construct a Hopf action, with an invariant trace, of a bicrossed product Hopf algebra =((₁) (G₂)) constructed from a matched pair of Lie groups G₁ and G₂, on a convolution algebra =Cc(G₁) G₂δ. We give an explicit way to construct Hopf cyclic cohomology classes of our Hopf algebra and then realize these classes in terms of explicit representative cocycles in the cyclic cohomology of the convolution algebra.