K– andL–theory of the semi-direct product of the discrete 3–dimensional Heisenberg group by ℤ∕4

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K – and L – theory of the semi - direct product of the discrete 3 – dimensional Heisenberg group by Z / 4 Wolfgang

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...

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K-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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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...

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ژورنال

عنوان ژورنال: Geometry & Topology

سال: 2005

ISSN: 1364-0380,1465-3060

DOI: 10.2140/gt.2005.9.1639