Equivariant algebraic \(K\)-functors for \(\Gamma\)-rings
DOI10.1007/s40879-023-00712-2arXiv2303.00324OpenAlexW4389170770MaRDI QIDQ6146105
Publication date: 10 January 2024
Published in: European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.00324
Hochschild homology\(\Gamma\)-equivariant group (co)homologyextensions of \(\Gamma\)-groupshomology of crossed \(\Gamma\)-modulessymbol group
(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Homological methods in group theory (20J05) Resolutions; derived functors (category-theoretic aspects) (18G10) Nonabelian homological algebra (category-theoretic aspects) (18G50) Extensions, wreath products, and other compositions of groups (20E22) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) 2-groups, crossed modules, crossed complexes (18G45)
Cites Work
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- An exact sequence for \(K^M_*/2\) with applications to quadratic forms
- Cohomologie et homologie non abéliennes des groupes. (Nonabelian cohomology and homology of groups)
- Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory
- Reduced power operations in motivic cohomology
- Motivic cohomology with \(\mathbb Z/2\)-coefficients
- (Co)homology of \(\Gamma\)-groups and \(\Gamma\)-homological algebra
- Equivariant dimensions of groups with operators
- Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
- Equivariant homology and cohomology of groups
- Relative Homological Algebra
- Higher algebraic K-theory: I
- Hopf formulas for equivariant integral homology of groups
- Introduction to Algebraic K-Theory. (AM-72)
- Sur les sous-groupes arithmétiques des groupes semi-simples déployés
- Cohomology Theory for Non-Normal Subgroups and Non-Normal Fields
- Algebraic \(K\)-theory
