Computations of K- and L-Theory of Cocompact Planar Groups
نویسنده
چکیده
The verification of the isomorphism conjectures of Baum and Connes and Farrell and Jones for certain classes of groups is used to compute the algebraic Kand L-theory and the topologicalK-theory of cocompact planar groups (= cocompact N.E.C-groups) and of groupsG appearing in an extension 1 → Zn → G → π → 1 where π is a finite group and the conjugation πaction on Zn is free outside 0 ∈ Zn. These computations apply, for instance, to two-dimensional crystallographic groups and cocompact Fuchsian groups. Mathematics Subject Classifications (2000): 19B28, 19D50, 19G24, 19K99.
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