The p-completed cyclotomic trace in degree 2

被引：6

作者：

Anschuetz, Johannes ^{[1
]}

Le Bras, Arthur-Cesar ^{[2
]}

机构：

[1] Univ Bonn, Math Inst, Bonn, Germany

[2] Univ Sorbonne Paris Nord, CNRS, UMR 7539, Inst Galilee,LAGA, Villetaneuse, France

来源：

ANNALS OF K-THEORY | 2020年 / 5卷 / 03期

基金：

欧盟地平线“2020”;

关键词：

algebraic K-theory; prisms; cyclotomic trace; ALGEBRAIC K-THEORY; HOMOLOGY;

D O I：

10.2140/akt.2020.5.539

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for a quasiregular semiperfectoid Z(p)(cycl)-algebra R (in the sense of Bhatt-Morrow-Scholze), the cyclotomic trace map from the p-completed K-theory spectrum K (R; Z(p)) of R to the topological cyclic homology TC(R; Z(p)) of R identifies on pi(2) with a q-deformation of the logarithm.

引用

页码：539 / 580

页数：42

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