| Waldhausen范畴的陈映射 |
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| 引用本文： | 王立庆.Waldhausen范畴的陈映射[J].数学年刊A辑(中文版),2001(5). |
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| 作者姓名： | 王立庆 |
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| 作者单位： | 复旦大学数学研究所 上海200433 |
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| 摘 要： | 本文讨论了关于 Ｗａｌｄｈａｕｓｅｎ范畴的Ｋ理论与循环同调理论的联系．主要是推广了 Ｄｅｎｎｉｓ迹映射和Ｊｏｎｅｓ－Ｇｏｏｄｗｉｌｌｉｅ Ｃｈｅｒｎ映射．证明了迹映射保持各自的乘法结构．最后讨论了双变量的情形．
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| 关 键 词： | Waldhausen范畴 K-理论 循环同调 |
CHERN MAPS OF WALDHAUSEN CATEGORIES |
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| WANG Liqing Institute of Mathematics,Fudan University Shanghai ,China. E-mail: liqingw@fudan.edu.cn.CHERN MAPS OF WALDHAUSEN CATEGORIES[J].Chinese Annals of Mathematics,2001(5). |
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| Authors: | WANG Liqing Institute of Mathematics Fudan University Shanghai China E-mail: liqingw@fudaneducn |
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| Institution: | WANG Liqing Institute of Mathematics,Fudan University Shanghai 200433,China. E-mail: liqingw@fudan.edu.cn |
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| Abstract: | The author discusses the relations between K-theory and cyclic homology theory in the setting of a Waldhausen category and mainly generalizes Dennis trace map and its extention called Jones-Goodwillie Chern map (JGC). The compatibility of Dennis trace map with respective ring structures is proved. At last the bivariant case is discussed. |
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| Keywords: | K-theory Cyclic homology Waldhausen category |
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