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.

引用

页码：59 / 82

页数：24

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