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JIANG Li-ning, WANG Li-guang. C*-Structure of Quantum Double for Finite Hopf C*-Algebra[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2005, 14(3): 328-331.
Citation: JIANG Li-ning, WANG Li-guang. C*-Structure of Quantum Double for Finite Hopf C*-Algebra[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2005, 14(3): 328-331.
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C*-Structure of Quantum Double for Finite Hopf C*-Algebra

  • 1.

    School of Science, Beijing Institute of Technology, Beijing 100081, China

  • 2.

    Department of Mathematics, Qufu Normal University, Qufu 273165, China

Funds:theNationalNaturalScienceFoundation(10301004);BasicResearchFoundationofBeijingInstituteofTechnology(200307A14)
  • Received Date:2004-02-17
    Abstract
  • Let H be a finite Hopf C*-algebra and H′ be its dual Hopf algebra. Drinfeld's quantum double D（H） of H is a Hopf *-algebra. There is a faithful positive linear functional θ on D（H）. Through the associated Gelfand-Naimark-Segal （GNS） representation, D（H） has a faithful *-representation so that it becomes a Hopf C *-algebra. The canonical embedding map of H into D（H） is isometric.
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