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闭子模的酉等价与遗传C*-子代数的稳定同构问题
引用本文:张伦传,郭懋正. 闭子模的酉等价与遗传C*-子代数的稳定同构问题[J]. 数学学报, 2010, 0(6)
作者姓名:张伦传  郭懋正
作者单位:中国人民大学信息学院;北京大学数学科学学院;
基金项目:国家自然科学基金资助项目(10871111)
摘    要:在Hilbert C~*-模框架下,给出了闭子模之间的酉等价与相应的遗传C~*-子代数的*同构,及对应的开投影的等价性的关系定理.

关 键 词:C~*-模  遗传C~*-子代数  标准模框架

Unitary Equivalence of Submodules and Stable Isomorphism of Corresponding Hereditary C*-Subalgebras
Lun Chuan ZHANG School of Information Science,Renmin University of China,Beijing ,P.R.China Mao Zheng GUO School of Mathematical Science,Peking University,Beijing ,P.R.China. Unitary Equivalence of Submodules and Stable Isomorphism of Corresponding Hereditary C*-Subalgebras[J]. Acta Mathematica Sinica, 2010, 0(6)
Authors:Lun Chuan ZHANG School of Information Science  Renmin University of China  Beijing   P.R.China Mao Zheng GUO School of Mathematical Science  Peking University  Beijing   P.R.China
Affiliation:Lun Chuan ZHANG School of Information Science,Renmin University of China,Beijing 100086,P.R.China Mao Zheng GUO School of Mathematical Science,Peking University,Beijing 100871,P.R.China
Abstract:We obtain a Stone type theorem under the frame of Hilbert C~*-module, such that the classical Stone theorem is our special case.
Keywords:Hilbert C~*-modules  hereditary C~*-algebras  standard module frames  
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