Group completion in the K-theory and Grothendieck–Witt theory of proto-exact categories
- Eberhardt, Jens Niklas
- Lorscheid, Oliver
- Young, Matthew B.
DOIAbstract
We study the algebraic K-theory and Grothendieck–Witt theory of proto-exact categories, with a particular focus on classes of examples of F1-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.</p
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