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On automorphisms of finite von Neumann algebras leaving invariant some reflexive lattices
Wu, Wenming1; Yuan, Wei2,3
2017-06-01
Source PublicationBULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN0024-6093
Volume49Issue:3Pages:369-379
AbstractFor 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.
Keyword46L40 46L54 (primary)
DOI10.1112/blms.12032
Language英语
Funding ProjectNSFC[11271390] ; NSFC[11371222] ; NSFC[11301511] ; NSFC[11321101] ; NSFC[11371290]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000402144800001
PublisherWILEY
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25592
Collection数学所
Corresponding AuthorWu, Wenming
Affiliation1.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
Recommended Citation
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.
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