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C~*-Structure of Quantum Double for Finite Hopf C~*-Algebra

Liguang Wang

2005北京理工大学学报:英文版Mathematics被引 2

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摘要

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.

引用本文(GB/T 7714)

Liguang Wang. C~*-Structure of Quantum Double for Finite Hopf C~*-Algebra[J]. 北京理工大学学报:英文版, 2005.

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