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

Arthur Bartels; F. T. Farrell; Wolfgang Lueck

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arXiv · 1101.0469

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

Arthur Bartels·F. T. Farrell·Wolfgang Lueck

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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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Arthur Bartels, F. T. Farrell, Wolfgang Lueck. 2013-06-30. The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups. https://arxiv.org/abs/1101.0469

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