| 摘要: |
| 本文研究了R上的一类离散交叉积的因子结构及其在小波分析中的应用问题.利用群测度构造离散交叉积的方法,我们构造了R上的一列离散交叉积,并且利用比率集的方法证明了上述交叉积是互相不同构的超有限Ⅲλ型因子.上述结论推广了已有的一些结果. |
| 关键词: 离散交叉积 超有限因子 小波分析 |
| DOI： |
| 分类号:O177.5 |
| 基金项目:Supported by National Natural Science Foundation of China(10926118) |
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| A SEQUENCE OF NON-ISOMORPHIC DISCRETE CROSSED PRODUCTS |
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ZHAO Jian-wei
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ZHAO Jian-wei (College of Sciences,China Jiliang University,Hangzhou 310018,China)
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| Abstract: |
| In this article,we study the factor type of Some discrete crossed products acting on R and its applications in wavelet analysis.By the group-measure method,we construct a sequence of discrete crossed products acting on R and prove that they are non-isomorphic hyperfinite Ⅲλ factors by means of the ratio set.All the above generalize Some known results. |
| Key words: discrete crossed product hyperfinite factor wavelet analysis |
