Title: Tiling systems and homology of lattices in tree products
Abstract:Let Γ be a torsion-free cocompact lattice in Aut(T1) × Aut(T2), where T1, T2 are trees whose vertices all have degree at least three. The group H2(Γ,Z) is determined explicitly in terms of an associat...Let Γ be a torsion-free cocompact lattice in Aut(T1) × Aut(T2), where T1, T2 are trees whose vertices all have degree at least three. The group H2(Γ,Z) is determined explicitly in terms of an associated 2-dimensional tiling system. It follows that under appropriate conditions the crossed product C∗algebra A associated with the action of Γ on the boundary of T1 ×T2 satisfies rankK0(A) = 2 · rankH2(Γ,Z).Read More
Publication Year: 2005
Publication Date: 2005-01-01
Language: en
Type: article
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