| 算子代数上同调论进展 |
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| 引用本文： | 邓宏钧,张政修.算子代数上同调论进展[J].湖北大学学报(自然科学版),1990,12(4):297-309. |
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| 作者姓名： | 邓宏钧 张政修 |
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| 作者单位： | 湖北大学数学系
(邓宏钧，高仁)，江汉大学数学系
(张政修)，江汉大学数学系(董伦群) |
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| 摘 要： | 本文系统地总结了算子代数上同调理论的产生和发展过程。全面地介绍了已见到的各种算子代数上同调理论及其相互关系。并阐述了这个理论在导子的提升,一般的提升,扩张问题,摄动理论和量子力学半群等方面的最新结果。最后,还提出了有待研究、解决的十个问题。
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| 关 键 词： | 算子代数 上同调 导子提升 扩张 |
ADVANCES IN COHOMOLOGY OF OPERATOR ALGEBRAS |
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| Deng Hongjun Gao Ren.ADVANCES IN COHOMOLOGY OF OPERATOR ALGEBRAS[J].Journal of Hubei University(Natural Science Edition),1990,12(4):297-309. |
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| Authors: | Deng Hongjun Gao Ren |
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| Institution: | Deng Hongjun Gao Ren
(Hubei University)
Zhang Zhengxiu Dong Lunqun
(Jianghan University) |
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| Abstract: | In this paper we have summed up systematically the arising and developing process of cohomlogy of operator algebra and presented completely various cohomolgies of operator algebra which we had seen and their relatives each other. Also,we expound some new results in the aspects of derivation lift, lifting problem,extension problem,perturbation theory and quantum dynamical semigroup. Finally we point out 10 open problems in this field. |
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| Keywords: | Operator algebra Cohomology Derivation lift Extension Perturbation Quantum dynamical semigroup Amenable Banach algebra |
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