Pairing and quantum double of finite Hopf C*-algebras

Ming Liu; Li Ning Jiang; Guo Sheng Zhang

doi:10.1007/s10114-005-0886-9

Pairing and quantum double of finite Hopf C*-algebras

Ming Liu^*, Li Ning Jiang, Guo Sheng Zhang

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1121-1128
Number of pages	8
Journal	Acta Mathematica Sinica, English Series
Volume	23
Issue number	6
DOIs	https://doi.org/10.1007/s10114-005-0886-9
Publication status	Published - Jun 2007

Keywords

GNS representation
Hopf C*-algebra
Pairing
Quantum double

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Liu, M., Jiang, L. N., & Zhang, G. S. (2007). Pairing and quantum double of finite Hopf C*-algebras. Acta Mathematica Sinica, English Series, 23(6), 1121-1128. https://doi.org/10.1007/s10114-005-0886-9

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AB - 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.

KW - GNS representation

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KW - Pairing

KW - Quantum double

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Pairing and quantum double of finite Hopf C*-algebras

Abstract

Keywords

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