Homology of Centralizers |
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| Authors: | Roman Mikhailov |
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| Affiliation: | Department of Algebra , Steklov Mathematical Institute , Moscow, Russia |
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| Abstract: | Given a group Π, we study the group homology of centralizers Π g , g ? Π, and of their central quotients Π g /〈 g〉. This study is motivated by the structure of the Hochschild and the cyclic homology of group algebras, and is based on Quillen's approach to the cyclic homology of algebras via algebra extensions. A method of computing the de Rham complex of a group algebra by means of a Gruenberg resolution is also developed. |
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| Keywords: | Algebra extensions Connes periodicity Cyclic homology de Rham complex Exact sequence Group algebra Group homology Gruenberg resolution Hochschild homology |
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