Mathematics – K-Theory and Homology
Scientific paper
2004-12-08
Geom. Topol. 9(2005) 1639-1676
Mathematics
K-Theory and Homology
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper37.abs.html
Scientific paper
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 algebraic topology.
No associations
LandOfFree
K- and L-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by Z/4 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with K- and L-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by Z/4, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and K- and L-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by Z/4 will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-169979