Geometry & Topology, Vol. 9 (2005)
Paper no. 37, pages 1639--1676.
K- and L-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by Z/4
We compute the group homology, the topological K-theory of the reduced
C^*-algebra, the algebraic K-theory and the algebraic L-theory of the
group ring of the semi-direct product of the three-dimensional
discrete Heisenberg group by Z/4. These computations will follow from
the more general treatment of a certain class of groups G which occur
as extensions 1-->K-->G-->Q-->1 of a torsionfree group K by a group Q
which satisfies certain assumptions. The key ingredients are the
Baum-Connes and Farrell-Jones Conjectures and methods from equivariant
K- and L-groups of group rings and group C^*-algebras, three-dimensional Heisenberg group.
AMS subject classification.
Secondary: 19A31, 19B28, 19D50, 19G24, 55N99.
Submitted to GT on 8 December 2004.
Paper accepted 19 August 2005.
Paper published 28 August 2005.
Notes on file formats
Fachbereich Mathematik, Universitaet Muenster
Einsteinstr. 62, 48149 Muenster, Germany
GT home page
These pages are not updated anymore.
They reflect the state of
For the current production of this journal, please refer to