| 环上的一种群具体作用的G-等变K-群(I) |
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| 引用本文： | 安丰稳.环上的一种群具体作用的G-等变K-群(I)[J].数学年刊A辑(中文版),2004(1). |
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| 作者姓名： | 安丰稳 |
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| 作者单位： | 南京大学物理系 南京 |
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| 摘 要： | 讨论幺环上的一种群具体作用的G-等变代数K-群(本文只定义前两个群,其它高阶群将见我们的后续文章),这与通常熟知的经典情形(见1,3])不相同,这里群在环上的作用相对于经典情形来说较“具体” 然后,计算有理数域Q第0阶群具体作用的G-等变代数K-群,这是本文的主要定理。
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| 关 键 词： | G-等变 K-群 K-理论 |
THE CONCRETE G-EQUIVARIANT K-GROUPS OF RINGS (I) |
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| AN Fengwen.THE CONCRETE G-EQUIVARIANT K-GROUPS OF RINGS (I)[J].Chinese Annals of Mathematics,2004(1). |
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| Authors: | AN Fengwen |
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| Institution: | AN Fengwen Department of Physics,Nanjing University,Nanjing 210093,China. |
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| Abstract: | The author discusses the concrete G-equivariant K groups of unital rings (where there are only the first two K-groups in this paper, for the higher ones see our subsequent papers) which are different from the classical ones in 1] and 3], where the actions of the groups on the rings which are concerned are concrete in comparison with the cases of the classical G-equivariant K-groups. Then as an application, we give the computation of the 0-th concrete G-equivariant K-groups of Q, which is the main theorem in the present paper. |
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| Keywords: | G-equi variant K-groups K-Theory |
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