C*-structure of quantum double for finite Hopf C*-algebra

Li Ning Jiang; Li Guang Wang

C-structure of quantum double for finite Hopf C-algebra

Li Ning Jiang^*
, Li Guang Wang

^*Corresponding author for this work

School of Mathematics and Statistics

Qufu Normal University

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	328-331
Number of pages	4
Journal	Journal of Beijing Institute of Technology (English Edition)
Volume	14
Issue number	3
Publication status	Published - Sept 2005

Keywords

C*-algebra
GNS representation
Hopf algebra
Quantum double

Cite this

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title = "C*-structure of quantum double for finite Hopf C*-algebra",

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.",

keywords = "C*-algebra, GNS representation, Hopf algebra, Quantum double",

author = "Jiang, \{Li Ning\} and Wang, \{Li Guang\}",

year = "2005",

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pages = "328--331",

journal = "Journal of Beijing Institute of Technology (English Edition)",

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T1 - C*-structure of quantum double for finite Hopf C*-algebra

AU - Jiang, Li Ning

AU - Wang, Li Guang

PY - 2005/9

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N2 - 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.

AB - 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.

KW - C-algebra

KW - GNS representation

KW - Hopf algebra

KW - Quantum double

UR - https://www.scopus.com/pages/publications/27244432715

M3 - Article

AN - SCOPUS:27244432715

SN - 1004-0579

VL - 14

SP - 328

EP - 331

JO - Journal of Beijing Institute of Technology (English Edition)

JF - Journal of Beijing Institute of Technology (English Edition)

IS - 3

ER -

C-structure of quantum double for finite Hopf C-algebra

Abstract

Keywords

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