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;
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页数：32
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