On maximal non-selfadjoint reflexive algebras associated with a double triangle lattice

doi:10.1007/s11425-015-5031-3

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	On maximal non-selfadjoint reflexive algebras associated with a double triangle lattice
	Dong AiJu 1; Wang Dong 2,3
	2015-11-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	58 期号:11 页码:2373-2386
摘要	We show that the reflexive algebra Alg(L) given by a double triangle lattice in a finite factor M (with L '' = M) is maximal non-selfadjoint in the class of all weak operator closed subalgebras with the same diagonal subalgebra Alg(L) boolean AND Alg(L)*. Our method can be used to prove similar results in finite-dimensional matrix algebras. As a consequence, we give a new proof to the main theorem by Hou and Zhang (2012).
关键词	Kadison-Singer algebra Kadison-Singer lattice reflexive algebra double triangle lattice factor of type II1
DOI	10.1007/s11425-015-5031-3
语种	英语
资助项目	National Natural Science Foundation of China[11371290] ; Morningside Center of Mathematics
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000364732700009
出版者	SCIENCE 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/21171
专题	中国科学院数学与系统科学研究院
通讯作者	Wang Dong
作者单位	1.Xian Univ Arts & Sci, Sch Math & Comp Engn, Xian 710065, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ New Hampshire, Dept Math & Stat, Durham, NH 03824 USA
推荐引用方式 GB/T 7714	Dong AiJu,Wang Dong. On maximal non-selfadjoint reflexive algebras associated with a double triangle lattice[J]. SCIENCE CHINA-MATHEMATICS,2015,58(11):2373-2386.
APA	Dong AiJu,&Wang Dong.(2015).On maximal non-selfadjoint reflexive algebras associated with a double triangle lattice.SCIENCE CHINA-MATHEMATICS,58(11),2373-2386.
MLA	Dong AiJu,et al."On maximal non-selfadjoint reflexive algebras associated with a double triangle lattice".SCIENCE CHINA-MATHEMATICS 58.11(2015):2373-2386.