On maximal abelian self-adjoint subalgebras of factors of type II1

doi:10.1007/s10114-004-0460-x

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	On maximal abelian self-adjoint subalgebras of factors of type II1
	Wang, LG
	2005-06-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	21 期号:3 页码:569-576
摘要	In this note, we show that if N is a proper subfactor of a factor M of type II1 with finite Jones index, then there is a. maximal abelian self-adjoint subalgebra, (masa) A of N, that is not a masa in M. Popa showed that there is a proper subfactor R-0 of the hyperfinite type II1 factor M such that each masa in R-0 is also a masa in R. We shall give a detailed proof of Popa's result.
关键词	maximal abelian self-adjoint subalgebra index von Neumann algebra factor conditional expectation
DOI	10.1007/s10114-004-0460-x
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000229747700014
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1519
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, LG
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China
推荐引用方式 GB/T 7714	Wang, LG. On maximal abelian self-adjoint subalgebras of factors of type II1[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2005,21(3):569-576.
APA	Wang, LG.(2005).On maximal abelian self-adjoint subalgebras of factors of type II1.ACTA MATHEMATICA SINICA-ENGLISH SERIES,21(3),569-576.
MLA	Wang, LG."On maximal abelian self-adjoint subalgebras of factors of type II1".ACTA MATHEMATICA SINICA-ENGLISH SERIES 21.3(2005):569-576.