On automorphisms of finite von Neumann algebras leaving invariant some reflexive lattices

doi:10.1112/blms.12032

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	On automorphisms of finite von Neumann algebras leaving invariant some reflexive lattices
	Wu, Wenming 1; Yuan, Wei2,3
	2017-06-01
发表期刊	BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN	0024-6093
卷号	49 期号:3 页码:369-379
摘要	For a fixed double triangle lattice in a finite factor, we show that the subgroup of automorphisms of the factor leaving invariant the reflexive lattice generated by the double triangle lattice is isomorphic to a closed subgroup of SO(3). In particular, if the nontrivial projections in the lattice is free, then the group is explicitly determined as the symmetric group of 3 elements.
关键词	46L40 46L54 (primary)
DOI	10.1112/blms.12032
语种	英语
资助项目	NSFC[11271390] ; NSFC[11371222] ; NSFC[11301511] ; NSFC[11321101] ; NSFC[11371290]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000402144800001
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25592
专题	数学所
通讯作者	Wu, Wenming
作者单位	1.Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wu, Wenming,Yuan, Wei. On automorphisms of finite von Neumann algebras leaving invariant some reflexive lattices[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY,2017,49(3):369-379.
APA	Wu, Wenming,&Yuan, Wei.(2017).On automorphisms of finite von Neumann algebras leaving invariant some reflexive lattices.BULLETIN OF THE LONDON MATHEMATICAL SOCIETY,49(3),369-379.
MLA	Wu, Wenming,et al."On automorphisms of finite von Neumann algebras leaving invariant some reflexive lattices".BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 49.3(2017):369-379.