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.
引用
收藏
页码：473 / 482
页数：10
相关论文
共 50 条
  • [1] Witt vectors and K-theory of automorphisms via noncommutative motives
    Gonçalo Tabuada
    Manuscripta Mathematica, 2014, 143 : 473 - 482
  • [2] K-THEORY OF ENDOMORPHISMS VIA NONCOMMUTATIVE MOTIVES
    Blumberg, Andrew J.
    Gepner, David
    Tabuada, Goncalo
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 368 (02) : 1435 - 1465
  • [3] K-theory and the bridge from motives to noncommutative motives
    Robalo, Marco
    ADVANCES IN MATHEMATICS, 2015, 269 : 399 - 550
  • [4] A universal characterization of noncommutative motives and secondary algebraic K-theory
    Mazel-Gee, Aaron
    Stern, Reuben
    ANNALS OF K-THEORY, 2024, 9 (02)
  • [5] On the K-theory of finite algebras over Witt vectors of perfect fields
    Hesselholt, L
    Madsen, I
    TOPOLOGY, 1997, 36 (01) : 29 - 101
  • [6] WITT RINGS AND K-THEORY
    BRUMFIEL, GW
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1984, 14 (04) : 733 - 765
  • [7] Noncommutative tachyons and K-theory
    Harvey, JA
    Moore, G
    JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (07) : 2765 - 2780
  • [8] The K-theory of the flip automorphisms
    Izumi, Masaki
    OPERATOR ALGEBRAS AND MATHEMATICAL PHYSICS, 2019, 80 : 123 - 137
  • [9] Noncommutative differential K-theory
    Park, Byungdo
    Parzygnat, Arthur J.
    Redden, Corbett
    Stoffel, Augusto
    JOURNAL OF GEOMETRY AND PHYSICS, 2022, 174
  • [10] K-theory of noncommutative lattices
    Ercolessi, E
    Landi, G
    Landi, G
    Teotonio-Sobrinho, P
    K-THEORY, 1999, 18 (04): : 339 - 362
12345