K – and L – theory of the semi - direct product of the discrete 3 – dimensional Heisenberg group by Z / 4 Wolfgang
نویسنده
چکیده
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. AMS Classification numbers Primary: 19K99 Secondary: 19A31, 19B28, 19D50, 19G24, 55N99
منابع مشابه
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 grou...
متن کاملK-and L-theory of the semi-direct product of the discrete three-dimensional Heisenberg group by Z/4
We compute the group homology, the topological K-theory of the reduced C∗-algebra and the algebraic Kand 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 whi...
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