Pairing and Quantum Double of Finite Hopf C*-Algebras

Details Pairing and Quantum Double of Finite Hopf C*-Algebras Pairing and Quantum Double of Finite Hopf C*-Algebras

2009-08-07

arxiv.org/abs/0908.1046v1

Mathematics

Quantum Algebra

10 pages,

Scientific paper

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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