Equivariant homology and cohomology of groups |
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Authors: | Hvedri Inassaridze |
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Institution: | A. Razmadze Mathematical Institute, Georgian Academy of Sciences, M. Alexidze Str. 1, Tbilisi 0193, Georgia |
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Abstract: | We provide and study an equivariant theory of group (co)homology of a group G with coefficients in a Γ-equivariant G-module A, when a separate group Γ acts on G and A, generalizing the classical Eilenberg-MacLane (co)homology theory of groups. Relationship with equivariant cohomology of topological spaces is established and application to algebraic K-theory is given. |
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Keywords: | 18G25 18G50 18G55 19C09 19D99 |
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