2023/03/01 by Inassaridze, Hvedri
#Chow group #FOS: Mathematics #K-Theory and Homology (math.KT) #Witt ring #algebraic K-functor #simplicial group #{\Gamma}-ring
paper · doi:10.48550/arxiv.2303.00324
This is an attempt to extend to algebraic K-theory our approach to group actions in homological algebra that could be called an introduction to Γ-algebraic K-theory. For Γ-rings the Milnor algebraic K-theory and Swan's algebraic K-functors are introduced and investigated. Particularly the Matsumoto conjecture related to the symbol group, and the Milnor conjectures related to Witt and Chow groups are extended and proven.