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A description of Kac-systems of multiplicative unitary operators
Zhang, XX
2001-11-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume44Issue:11Pages:1439-1445
AbstractLet V be a multiplicative unitary operator on a separable Hilbert space H, then there are two subalgebras of B ( H) denoted by A( V) and (A) over tilde( V), respectively, which correspond to V. If V satisfies V-2 = 1, then we will obtain the necessary and sufficient condition of Baaj and Skandalis' main theorem, i.e. V has a Kac-system if and only if the linear closed space of the product of the above two algebras is the compact operator space; with this condition the above algebras are also quantum groups.
Keywordmultiplicative unitary operators regular irreducible Kac-systems quantum groups
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000173578500010
PublisherSCIENCE CHINA PRESS
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16461
Collection中国科学院数学与系统科学研究院
Affiliation1.Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China
Recommended Citation
GB/T 7714
Zhang, XX. A description of Kac-systems of multiplicative unitary operators[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(11):1439-1445.
APA Zhang, XX.(2001).A description of Kac-systems of multiplicative unitary operators.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(11),1439-1445.
MLA Zhang, XX."A description of Kac-systems of multiplicative unitary operators".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.11(2001):1439-1445.
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