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arXiv · 1511.00362

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

Tao Yang
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Abstract

We construct a Hopf action, with an invariant trace, of a bicrossed product Hopf algebra $\cH=\big( \cU(\Fg_1) \acr \cR(G_2) \big)^{\cop}$ constructed from a matched pair of Lie groups $G_1$ and $G_2$, on a convolution algebra $\cA=C_c^{\ify}(G_1)\rtimes G_2^δ$. We give an explicit way to construct Hopf cyclic cohomology classes of our Hopf algebra $\cH$ and then realize these classes in terms of explicit representative cocycles in the cyclic cohomology of the convolution algebra $\cA$.

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Tao Yang. 2015-11-02. Explicit Realization of Hopf Cyclic Cohomology Classes of Bicrossed Product Hopf Algebras. https://arxiv.org/abs/1511.00362

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