Displaying similar documents to “On finite groups acting on acyclic complexes of dimension two.”

The Connes-Kasparov conjecture for almost connected groups and for linear p -adic groups

Jérôme Chabert, Siegfried Echterhoff, Ryszard Nest (2003)

Publications Mathématiques de l'IHÉS

Similarity:

Let G be a locally compact group with cocompact connected component. We prove that the assembly map from the topological K-theory of G to the K-theory of the reduced C-algebra of G is an isomorphism. The same is shown for the groups of -rational points of any linear algebraic group over a local field of characteristic zero.

Extension of complexes of groups

André Haefliger (1992)

Annales de l'institut Fourier

Similarity:

Complexes of groups G ( X ) over ordered simplicial complexes X are generalizations to higher dimensions of graphs of groups. We first relate them to complexes of spaces by considering their classifying space B G ( X ) . Then we develop their homological algebra aspects. We define the notions of homology and cohomology of a complex of groups G ( X ) with coefficients in a G ( X ) -module and show the existence of free resolutions. We apply those notions to study extensions of complexes of groups with constant or...