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

Access to Document

10.1007/s10114-005-0886-9

Cite this

@article{c305fe6f6ffe41fb95917d1adb6358ea,

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",

author = "Ming Liu and Jiang, {Li Ning} and Zhang, {Guo Sheng}",

year = "2007",

month = jun,

doi = "10.1007/s10114-005-0886-9",

language = "English",

volume = "23",

pages = "1121--1128",

journal = "Acta Mathematica Sinica, English Series",

issn = "1439-8516",

publisher = "Springer Verlag",

number = "6",

}

TY - JOUR

T1 - Pairing and quantum double of finite Hopf C*-algebras

AU - Liu, Ming

AU - Jiang, Li Ning

AU - Zhang, Guo Sheng

PY - 2007/6

Y1 - 2007/6

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=34249058108&partnerID=8YFLogxK

U2 - 10.1007/s10114-005-0886-9

DO - 10.1007/s10114-005-0886-9

M3 - Article

AN - SCOPUS:34249058108

SN - 1439-8516

VL - 23

SP - 1121

EP - 1128

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 6

ER -

Pairing and quantum double of finite Hopf C*-algebras

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this