Thu, December 3, 2015
10:30 am - 11:30 am
Math Building 105
Title: Explicit Realization of Hopf Cyclic Cohomology Classes of Bicrossed Product Hopf Algebras
Speaker: Tao Yang (OSU)
Abstract: We construct a Hopf action, with an invariant trace, of a bicrossed product Hopf algebra constructed from a matched pair of Lie groups, on a convolution algebra constructed from the latter. 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.