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Explicit Realization of Hopf Cyclic Cohomology Classes of Bicrossed Product Hopf Algebras
Yang, Tao

2015, Doctor of Philosophy, Ohio State University, Mathematics.
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 $\cA=C_c^{\ify}(G_1)\rtimes G_2^{\delta}$. 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 $\cA$.
Henri Moscovici (Advisor)
75 p.

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Yang, T. (2015). Explicit Realization of Hopf Cyclic Cohomology Classes of Bicrossed Product Hopf Algebras. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Yang, Tao. "Explicit Realization of Hopf Cyclic Cohomology Classes of Bicrossed Product Hopf Algebras." Electronic Thesis or Dissertation. Ohio State University, 2015. OhioLINK Electronic Theses and Dissertations Center. 25 Sep 2017.

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Yang, Tao "Explicit Realization of Hopf Cyclic Cohomology Classes of Bicrossed Product Hopf Algebras." Electronic Thesis or Dissertation. Ohio State University, 2015. https://etd.ohiolink.edu/

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