Abstract
We compute the group homology, the topological –theory of the reduced –algebra, the algebraic –theory and the algebraic –theory of the group ring of the semi-direct product of the three-dimensional discrete Heisenberg group by . These computations will follow from the more general treatment of a certain class of groups which occur as extensions of a torsionfree group by a group which satisfies certain assumptions. The key ingredients are the Baum–Connes and Farrell–Jones Conjectures and methods from equivariant algebraic topology.
Citation
Wolfgang Lueck. "$K$– and $L$–theory of the semi-direct product of the discrete 3–dimensional Heisenberg group by $\mathbb{Z}/4$." Geom. Topol. 9 (3) 1639 - 1676, 2005. https://doi.org/10.2140/gt.2005.9.1639
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