Vanishing of Nil-terms and negative K-theory for additive categories

被引：0
|
作者：
Bartels, Arthur [1 ]
Lueck, Wolfgang [2 ]
机构：
[1] Westfal Wilhelms Univ Munster, Math Inst, Einsteinstr 62, D-48149 Munster, NorthRhine West, Germany
[2] Rhein Friedrich Wilhelms Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, NorthRhine West, Germany
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2024年
基金：
欧洲研究理事会;
关键词：
K-theory; additive categories; regularity properties; twisted Nil-terms; sequence categories;
D O I：
10.1017/prm.2024.103
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend the notion of regular coherence from rings to additive categories and showthat well-known consequences of regular coherence for rings also apply to additivecategories. For instance, the negativeK-groups and all twisted Nil-groups vanish foran additive category, if it is regular coherent. This will be applied to nestedsequences of additive categories, motivated by our ongoing project to determine thealgebraicK-theory of the Hecke algebra of a reductivep-adic group.
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页数：79
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