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	A note on the crossed product R(A, alpha) associated with PSL2(R)
	Wu WenMing
	2010-05-06 ; 2010-05-06
关键词	crossed product rational actions PSL2(R) von Neumann algebras Mathematics, Applied Mathematics
中文摘要	Given the hyperbolic measure dxdy/y(2) on the upper half plane H, the rational actions of PSL2(R) on H induces a continuous unitary representation a of this group on the Hilbert space L-2(H, dxdy/y(2)). Supposing that A = {Mf : f epsilon L-infinity(H, dxdy/y(2))}, we show that the crossed product R(A, alpha) is of type I. In fact, the crossed product R(A, alpha) is *- isomorphic to the von Neumann algebra B(L-2( P, nu)) (circle times) over bar L-K, where L-K is the abelian group von Neumann algebra generated by the left regular representation of K.
语种	英语 ; 英语
出版者	SCIENCE CHINA PRESS ; BEIJING ; 16 DONGHUANGCHENGGEN NORTH ST, BEIJING 100717, PEOPLES R CHINA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14108]
专题	清华大学
推荐引用方式 GB/T 7714	Wu WenMing. A note on the crossed product R(A, alpha) associated with PSL2(R)[J],2010, 2010.
APA	Wu WenMing.(2010).A note on the crossed product R(A, alpha) associated with PSL2(R)..
MLA	Wu WenMing."A note on the crossed product R(A, alpha) associated with PSL2(R)".(2010).

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