THE CROSSED PRODUCT VON NEUMANN ALGEBRAS ASSOCIATED WITH SL2(R)

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	THE CROSSED PRODUCT VON NEUMANN ALGEBRAS ASSOCIATED WITH SL2(R)
	Wu, Wenming 1,2; Yuan, Wei 3
	2010-08-01
发表期刊	TAIWANESE JOURNAL OF MATHEMATICS
ISSN	1027-5487
卷号	14 期号:4 页码:1501-1515
摘要	Let A be the abelian von Neumann subalgebra {M-f : f is an element of L-infinity(H,mu(r))} of B(L-2(H, mu(r))), where H is the upper half plane and the measure d mu(r) = dxdy/y(2-r). For any integers r > 1, the linear fractional action of SL2(R) on H induces a continuous action a of SL2(R) on A. It is shown that the crossed product R(A, alpha) of A under the action a of SL2(R) is *-isomorphic to B(L-2(P,2dxdy/y(3-2r)))(circle times) over bar )L-K where SL2(R) = PK is the Iwasawa decomposition of SL2(R) Thus R(A, alpha) is of type I
关键词	Crossed product von Neumann algebras Iwasawa decomposition SL2(R) Linear fractional action
语种	英语
资助项目	National Natural Science Foundation of China[10871111] ; Chongqing Normal University[08XLB013] ; Chongqing Municipal Education Commission[KJ 090804]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000280687100020
出版者	MATHEMATICAL SOC REP CHINA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10825
专题	中国科学院数学与系统科学研究院
通讯作者	Wu, Wenming
作者单位	1.Chongqing Normal Univ, Coll Math & Comp Sci, Chongqing 400047, Peoples R China 2.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 3.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wu, Wenming,Yuan, Wei. THE CROSSED PRODUCT VON NEUMANN ALGEBRAS ASSOCIATED WITH SL2(R)[J]. TAIWANESE JOURNAL OF MATHEMATICS,2010,14(4):1501-1515.
APA	Wu, Wenming,&Yuan, Wei.(2010).THE CROSSED PRODUCT VON NEUMANN ALGEBRAS ASSOCIATED WITH SL2(R).TAIWANESE JOURNAL OF MATHEMATICS,14(4),1501-1515.
MLA	Wu, Wenming,et al."THE CROSSED PRODUCT VON NEUMANN ALGEBRAS ASSOCIATED WITH SL2(R)".TAIWANESE JOURNAL OF MATHEMATICS 14.4(2010):1501-1515.