Work

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

Year: 2024

Type: article

Abstract: We extend the notion of regular coherence from rings to additive categories and show that well-known consequences of regular coherence for rings also apply to additive categories. For instance, the negative K-groups and all twisted Nil-groups vanish for an additive category, if it is regular coherent. This will be applied to nested sequences of additive categories, motivated by our ongoing project to determine the algebraic K-theory of the Hecke algebra of a reductive p-adic group.

Source: Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI: 10.1017/prm.2024.103

Authors: Arthur Bartels, Wolfgang Lueck

Institutions: University of Münster, University of Bonn

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,450

OpenAlex ID: W4404926366

FWCI:

Cites: 15

Cited by:

Related to: 10