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

作     者：Kun-yu GUO & Peng-hui WANG School of Mathematics, Pudan University, Shanghai 200433, China 

作者机构：School of Mathematics Fudan University Shanghai 200433 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2007年第50卷第3期

页      面：387-411页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：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 

主　　题：Hardy modules bidisk essential normality K-homology. 

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.