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K- and L-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by Z/4 | | Wolfgang Lueck
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8 Dec 2004 | | Journal: | Geom. Topol. 9(2005) 1639-1676 | | Subject: | K-Theory and Homology MSC-class: 19K99, 19A31, 19B28, 19D50, 19G24, 55N99 | math.KT | | Abstract: | 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. | | Source: | arXiv, math.KT/0412156 | | Services: | Forum | Review | PDF | Favorites | |
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