Equivariant algebraic K-functors for Γ-rings

被引：0

作者：

Inassaridze, Hvedri ^{[1
]}

机构：

[1] Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili Str, Tbilisi 0179, Georgia

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 9卷 / 04期

关键词：

Extensions of Gamma-groups; Hochschild homology; Symbol group; Gamma-equivariant group (co)homology; Homology of crossed Gamma-modules; HOMOLOGY; COHOMOLOGY;

D O I：

10.1007/s40879-023-00712-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 algebraic K-functors are introduced and investigated. In particular, the Matsumoto conjecture related to the symbol group, and the Milnor conjectures related to Witt algebras and Chow groups for Gamma-rings are extended.

引用

页数：17

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