Homology of Centralizers

Mikhailov, Roman ; Passi, Inder Bir S. (2007) Homology of Centralizers Communications in Algebra, 35 (7). pp. 2191-2207. ISSN 0092-7872

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0092787...

Related URL: http://dx.doi.org/10.1080/00927870701302206


Given a group Π, we study the group homology of centralizers Πg, 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.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Group.
Keywords:Algebra Extensions; Connes Periodicity; Cyclic Homology; De Rham Complex; Exact Sequence; Group Algebra; Group Homology; Gruenberg Resolution; Hochschild Homology
ID Code:56762
Deposited On:25 Aug 2011 10:05
Last Modified:25 Aug 2011 10:05

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