论文标题
K-Theory和Grothendieck-Witt原始批准类别中的小组完成
Group completion in the K-theory and Grothendieck-Witt theory of proto-exact categories
论文作者
论文摘要
我们研究了代数$ k $ - 理论和原始外观类别的理论，特别关注$ \ mathbb {f} _1 $ lineal nature的示例类别。我们的主要结果是Quillen和Schlichting定理的类似物，将使用（Hermitian）$ Q $ - 构建和组完成定义的原始外观类别的$ K $ - 理论或Grothendieck-Witt理论相关联。
We study the algebraic $K$-theory and Grothendieck-Witt theory of proto-exact categories, with a particular focus on classes of examples of $\mathbb{F}_1$-linear nature. Our main results are analogues of theorems of Quillen and Schlichting, relating the $K$-theory or Grothendieck-Witt theories of proto-exact categories defined using the (hermitian) $Q$-construction and group completion.
