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.
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页码：539 / 580
页数：42
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