| Essentially normal Hilbert modules and Khomology Ⅲ: Homogenous quotient modules of Hardy modules on the bidisk |
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| 作者单位： | Kun-yu GUO（School of Mathematics, Fudan University, Shanghai 200433, China） ;
Peng-hui WANG（School of Mathematics, Fudan University, Shanghai 200433, China） ; |
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| 基金项目： | This work is partially supported by the National Natural Science Foundation of China (Grant No. 10525106),the Young Teacher Fund, the National Key Basic Research Project of China (Grant No. 2006CB805905) and the Specialized Research for the Doctoral program |
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| 摘 要： |
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| 收稿时间： | 3 July 2006 |
| 修稿时间： | 21 November 2006 |
Essentially normal Hilbert modules and <Emphasis Type="Italic">K</Emphasis>-homology III: Homogenous quotient modules of Hardy modules on the bidisk |
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| Authors: | Kun-yu Guo Peng-hui Wang |
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| Institution: | (1) School of Mathematics, Fudan University, Shanghai, 200433, China |
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| Abstract: | In this paper, we study the homogenous quotient modules of the Hardy module on the bidisk. The essential normality of the
homogenous quotient modules is completely characterized. We also describe the essential spectrum for a general quotient module.
The paper also considers K-homology invariant defined in the case of the homogenous quotient modules on the bidisk.
This work is partially supported by the National Natural Science Foundation of China (Grant No. 10525106), the Young Teacher
Fund, the National Key Basic Research Project of China (Grant No. 2006CB805905) and the Specialized Research for the Doctoral
Program |
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| Keywords: | Hardy modules bidisk essential normality K-homology |
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