Weibel's conjecture for twisted K-theory

被引：1

作者：

Stapleton, Joel ^{[1
]}

机构：

[1] Univ Illinois, Chicago, IL 60607 USA

来源：

ANNALS OF K-THEORY | 2020年 / 5卷 / 03期

关键词：

algebraic K-theory; Brauer groups; excision; BRAUER GROUPS;

D O I：

10.2140/akt.2020.5.621

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Weibel's conjecture for twisted K-theory when twisting by a smooth proper connective dg-algebra. Our main contribution is showing we can kill a negative twisted K-theory class using a projective birational morphism (in the same twisted setting). We extend the vanishing result to relative twisted K-theory of a smooth affine morphism and describe counterexamples to some similar extensions.

引用

页码：621 / 637

页数：17

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