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arXiv · 0908.1046

Pairing and Quantum Double of Finite Hopf C*-Algebras

Ming Liu·Li Ning Jiang·Guo Sheng Zhang
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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.

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BibTeXRIS

Ming Liu, Li Ning Jiang, Guo Sheng Zhang. 2009-08-07. Pairing and Quantum Double of Finite Hopf C*-Algebras. https://arxiv.org/abs/0908.1046

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