Trace and transfer maps in the algebraic K-theory of spaces

被引：4
|
作者：
Douglas, Christopher L. [1 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
K-THEORY | 2005年 / 36卷 / 1-2期
关键词：
K-theory; trace; transfer; fixed points; stable homotopy;
D O I：
10.1007/s10977-005-3639-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the composition of the A-theory transfer with the trace map to stable homotopy is weakly homotopic to the Becker-Gottlieb transfer. This shows that the Waldhausen splitting A(*) similar or equal to Q (S-0) x Wh(*) of A-theory into stable homotopy and the Whitehead space is natural with respect to transfer maps.
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页码：59 / 82
页数：24
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