KMS Of Academy of mathematics and systems sciences, CAS
A description of Kac-systems of multiplicative unitary operators | |
Zhang, XX | |
2001-11-01 | |
Source Publication | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY |
ISSN | 1006-9283 |
Volume | 44Issue:11Pages:1439-1445 |
Abstract | Let 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. |
Keyword | multiplicative unitary operators regular irreducible Kac-systems quantum groups |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000173578500010 |
Publisher | SCIENCE CHINA PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/16461 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Zhang, XX |
Affiliation | 1.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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