| Essentially normal Hilbert modules and K-homology Ⅲ:Homogenous quotient modules of Hardy modules on the bidisk |
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| 作者姓名： | Kun-yu GUO & Peng-hui WANG School of Mathematics Pudan University Shanghai 200433 China |
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| 作者单位： | Kun-yu GUO & Peng-hui WANG School of Mathematics，Pudan 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)，the Specialized Research for the Doctoral Program |
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| 摘 要： | 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.
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