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arXiv · 2303.00324

Algebraic K-functors for $\Gamma$-rings

Hvedri Inassaridze
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Abstract

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 $\Gamma$-algebraic K-theory. For $\Gamma$-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.

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Hvedri Inassaridze. 2023-03-01. Algebraic K-functors for $\Gamma$-rings. https://arxiv.org/abs/2303.00324

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