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.
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页码：621 / 637
页数：17
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