<p>On cleanness of von Neumann algebras & nbsp;</p>

doi:10.1016/j.jmaa.2021.125969

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	On cleanness of von Neumann algebras & nbsp;
	Cui, Lu 1,4; Huang, Linzhe 2; Wu, Wenming 3; Yuan, Wei 1,4; Zhang, Hanbin 5
	2022-05-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	509 期号:2 页码:21
摘要	A unital ring is called clean (resp. strongly clean) if every element can be written as the sum of an invertible element and an idempotent (resp. an invertible element and an idempotent that commutes). T.Y. Lam proposed a question: which von Neumann algebras are clean as rings? In this paper, we characterize strongly clean von Neumann algebras and prove that all finite von Neumann algebras and all separable infinite factors are clean. (C)& nbsp;2021 Elsevier Inc. All rights reserved.
关键词	Von Neumann algebras Clean rings Idempotents Projections
DOI	10.1016/j.jmaa.2021.125969
收录类别	SCI
语种	英语
资助项目	NFS of China[11971463] ; NFS of China[11871303] ; NFS of China[11871127] ; Chongqing Science and Technology Commission[cstc2019jcyj-msxmX0256] ; NSF of China[11901563]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000791947800032
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61379
专题	中国科学院数学与系统科学研究院
通讯作者	Yuan, Wei
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China 3.Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China
推荐引用方式 GB/T 7714	Cui, Lu,Huang, Linzhe,Wu, Wenming,et al. On cleanness of von Neumann algebras & nbsp; [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2022,509(2):21.
APA	Cui, Lu,Huang, Linzhe,Wu, Wenming,Yuan, Wei,&Zhang, Hanbin.(2022). On cleanness of von Neumann algebras & nbsp; .JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,509(2),21.
MLA	Cui, Lu,et al." On cleanness of von Neumann algebras & nbsp; ".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 509.2(2022):21.