TY - JOUR
T1 - Group completion in the K-theory and Grothendieck–Witt theory of proto-exact categories
AU - Eberhardt, Jens Niklas
AU - Lorscheid, Oliver
AU - Young, Matthew B.
N1 - Funding Information:
Acknowledgments The authors thank Marco Schlichting and Charles Weibel for helpful correspondence, the anonymous referee for detailed comments and suggestions and the Max Planck Institute for Mathematics in Bonn for its hospitality and financial support. The third author is partially supported by a Simons Foundation Collaboration Grant for Mathematicians (Award ID 853541).
Funding Information:
Acknowledgments The authors thank Marco Schlichting and Charles Weibel for helpful correspondence, the anonymous referee for detailed comments and suggestions and the Max Planck Institute for Mathematics in Bonn for its hospitality and financial support. The third author is partially supported by a Simons Foundation Collaboration Grant for Mathematicians (Award ID 853541 ).
Publisher Copyright:
© 2022 The Author(s)
PY - 2022/8
Y1 - 2022/8
N2 - 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.
AB - 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.
KW - Algebraic K-theory
KW - Grothendieck–Witt theory
KW - Proto-exact categories
UR - http://www.scopus.com/inward/record.url?scp=85123726271&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2022.107018
DO - 10.1016/j.jpaa.2022.107018
M3 - Article
AN - SCOPUS:85123726271
SN - 0022-4049
VL - 226
JO - Journal of pure and applied algebra
JF - Journal of pure and applied algebra
IS - 8
M1 - 107018
ER -