Pairing and Quantum Double of Finite Hopf C*-Algebras

Ming Liu; Li Ning Jiang; Guo Sheng Zhang

Pairing and Quantum Double of Finite Hopf C*-Algebras

Quantum Algebra 2009-08-10 v1

Authors: Ming Liu , Li Ning Jiang , Guo Sheng Zhang

Abstract

This paper defines a pairing of two finite Hopf C*-algebras $A$ and $B$ , and investigates the interactions between them. If the pairing is non-degenerate, then the quantum double construction is given. This construction yields a new finite Hopf C*-algebra $D(A,B)$ . The canonical embedding maps of $A$ and $B$ into the double are both isometric.

Keywords

Hopf C*-algebras pairing quantum double finite quantum groups non-degenerate pairing isometric embedding

Cite

@article{arxiv.0908.1046,
  title  = {Pairing and Quantum Double of Finite Hopf C*-Algebras},
  author = {Ming Liu and Li Ning Jiang and Guo Sheng Zhang},
  journal= {arXiv preprint arXiv:0908.1046},
  year   = {2009}
}

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10 pages,

Pairing and Quantum Double of Finite Hopf C*-Algebras

Abstract

Keywords

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