The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups

2011/01/03 by Arthur Bartels, Bartels, Arthur, F. T. Farrell +3 · 2 citations
Mathematics · #Advanced Operator Algebra Research #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1101.0469

Abstract

Let G be a cocompact lattice in a virtually connected Lie group or the fundamental group of a 3-manifold. We prove the K-theoretic Farrell-Jones Conjecture (up to dimension one) and the L-theoretic Farrell-Jones Conjecture for G, where we allow coefficients in additive G-categories with (involution).

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