| 作用在n维欧氏空间R~n上的离散交叉积 |
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| 引用本文： | 赵建伟. 作用在n维欧氏空间R~n上的离散交叉积[J]. 数学学报, 2008, 51(3): 607-616. DOI: CNKI:SUN:SXXB.0.2008-03-025 |
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| 作者姓名： | 赵建伟 |
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| 作者单位： | 中国计量学院理学院数学系 杭州 310018 |
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| 摘 要： | 主要研究作用在n维欧氏空间R~n上的离散交叉积■_n■_αG_A,b_1,…,b_n的代数性质与因子分类.首先证明了该交叉积是内射的;其次给出了该交叉积为因子的一些充要条件;最后讨论该交叉积为因子时究竟是几型因子.
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| 关 键 词： | 离散交叉积 遍历作用 内射 |
| 收稿时间： | 2007-07-03 |
Discrete Crossed Products Acting on Euclidean Space R~n |
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| Affiliation: | Jian Wei ZHAO ollege of Sciences,China Jiliang University,Hangzhou 310018,P.R.China |
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| Abstract: | The topic of this paper is on the algebraic property and factor classification of the discrete crossed products A_n x_αG_(A,b_1,…b_n) acting on the Euclidean space R~n. Firstly,we show that this crossed product is injective.Secondly,we give some sufficient and necessary condition for the crossed product to be a factor.Lastly,we discuss the factor type of this crossed product when it is a factor. |
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| Keywords: | discrete crossed product ergodic action injective |
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