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Essentially normal Hilbert modules and K-homology III: Homogenous quotient modules of Hardy modules on the bidisk

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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.

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Authors and Affiliations

  1. School of Mathematics, Fudan University, Shanghai, 200433, China

    Kun-yu Guo & Peng-hui Wang

Authors
  1. Kun-yu Guo
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  2. Peng-hui Wang
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Correspondence to Kun-yu Guo.

Additional information

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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Guo, Ky., Wang, Ph. Essentially normal Hilbert modules and K-homology III: Homogenous quotient modules of Hardy modules on the bidisk. SCI CHINA SER A 50, 387–411 (2007). https://doi.org/10.1007/s11425-007-0019-2

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  • DOI: https://doi.org/10.1007/s11425-007-0019-2

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