On ultraproducts of operator algebras

doi:10.1360/022004-107

CSpace

	On ultraproducts of operator algebras
	Li, WH
	2005-09-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	48 期号:9 页码:1284-1295
摘要	Some basic questions on ultraproducts of C-algebras and von Neumann algebras, including the relation to K-theory of C-algebras are considered. More specifically, we prove that under certain conditions, the K-groups of ultraproduct of C-algebras are isomorphic to the ultraproduct of respective K-groups of C-algebras. We also show that the ultraproducts of factors of type II1 are prime, i.e. not isomorphic to any non-trivial tensor product.
关键词	von Neumann algebras C*-algebras ultraproducts K-group double commutants
DOI	10.1360/022004-107
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000233073200011
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/2193
专题	中国科学院数学与系统科学研究院
通讯作者	Li, WH
作者单位	Chinese Acad Sci, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, WH. On ultraproducts of operator algebras[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2005,48(9):1284-1295.
APA	Li, WH.(2005).On ultraproducts of operator algebras.SCIENCE IN CHINA SERIES A-MATHEMATICS,48(9),1284-1295.
MLA	Li, WH."On ultraproducts of operator algebras".SCIENCE IN CHINA SERIES A-MATHEMATICS 48.9(2005):1284-1295.