Group completion in the K-theory and Grothendieck-Witt theory of proto-exact categories

被引：0

作者：

Eberhardt, Jens Niklas ^{[1
]}

Lorscheid, Oliver ^{[2
,3
]}

Young, Matthew B. ^{[4
]}

机构：

[1] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

[2] Univ Groningen, Groningen, Netherlands

[3] IMPA, Rio De Janeiro, Brazil

[4] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2022年 / 226卷 / 08期

关键词：

Algebraic K-theory; Grothendieck-Witt theory; Proto-exact categories;

D O I：

10.1016/j.jpaa.2022.107018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the algebraic K-theory and Grothendieck-Witt theory of proto-exact categories, with a particular focus on classes of examples of F-1-linear nature. Our main results are analogues of theorems of Quillen and Schlichting, relating the K- theory or Grothendieck-Witt theory spaces of proto-exact categories defined using the (hermitian) Q-construction and group completion. (c) 2022 The Author(s). Published by Elsevier B.V.& nbsp;

引用

页数：32

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