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

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1121-1128
页数	8
期刊	Acta Mathematica Sinica, English Series
卷	23
期	6
DOI	https://doi.org/10.1007/s10114-005-0886-9
出版状态	已出版 - 6月 2007

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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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title = "Pairing and quantum double of finite Hopf C*-algebras",

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.",

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

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AU - Jiang, Li Ning

AU - Zhang, Guo Sheng

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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

KW - Hopf C-algebra

KW - Pairing

KW - Quantum double

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Pairing and quantum double of finite Hopf C*-algebras

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