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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 $\cA$.
75 p.

# APA Citation

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/

# MLA Citation

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. 22 Jun 2018.

# Chicago Citation

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/