THE CROSSED PRODUCT VON NEUMANN ALGEBRAS ASSOCIATED WITH SL2(R)
文献类型：期刊论文
| 作者 | Wu, Wenming1,2; Yuan, Wei3 |
| 刊名 | TAIWANESE JOURNAL OF MATHEMATICS
 |
| 出版日期 | 2010-08-01 |
| 卷号 | 14期号:4页码:1501-1515 |
| 关键词 | Crossed product von Neumann algebras Iwasawa decomposition SL2(R) Linear fractional action |
| ISSN号 | 1027-5487 |
| 英文摘要 | 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 |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000280687100020 |
| 出版者 | MATHEMATICAL SOC REP CHINA |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10824]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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