A description of Kac-systems of multiplicative unitary operators

CSpace

	A description of Kac-systems of multiplicative unitary operators
	Zhang, XX
	2001-11-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	44 期号:11 页码:1439-1445
摘要	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.
关键词	multiplicative unitary operators regular irreducible Kac-systems quantum groups
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000173578500010
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16461
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, XX
作者单位	1.Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China
推荐引用方式 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.