Homology, Homotopy and Applications
Volume 10 (2008)
Group homology and extensions of groups
Pages: 237 – 257
Using Quillen’s description of cyclic cohomology in terms of traces on algebra extensions and Burghelea’s computation of the cyclic homology of the group algebra of a group Π, we derive a description of the homology of Π with coefficients in a field of characteristic 0 as the inverse limit of a functor on the category of extensions of Π.
group rings, cyclic homology, group homology, group extensions
2010 Mathematics Subject Classification
16S34, 19D55, 20J15