Witt vectors and K-theory of automorphisms via noncommutative motives

被引：0
|
作者：
Tabuada, Goncalo [1 ,2 ,3 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
[2] FCT UNL, Dept Matemat, P-2829516 Caparica, Portugal
[3] FCT UNL, CMA, P-2829516 Caparica, Portugal
来源：
MANUSCRIPTA MATHEMATICA | 2014年 / 143卷 / 3-4期
关键词：
13F35; 18D20; 18F30;
D O I：
10.1007/s00229-013-0632-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the functor ring-of-rational-Witt-vectors W (0)(-) becomes co-representable in the category of noncommutative motives. As an application, we obtain an immediate extension of W (0)(-) from commutative rings to schemes. Then, making use of the theory of noncommutative motives, we classify all natural transformations of the functor K-theory-of-automorphisms.
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页码：473 / 482
页数：10
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