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

Published 3 Jan 2011 in math.GT | (1101.0469v2)

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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