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Group completion in the K-theory and Grothendieck-Witt theory of proto-exact categories by Eberhardt, Jens Niklas; Lorscheid, Oliver; Young, Matthew B. is a scholarly article available to read on EtoBox.

What is Group completion in the K-theory and Grothendieck-Witt theory of proto-exact categories about?

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.

Author

Eberhardt, Jens Niklas; Lorscheid, Oliver; Young, Matthew B.

Published

2020

Language

EN