The L2-torsion for representations of hyperbolic lattices

Abstract

We prove equality of analytic and topological [Formula: see text]-torsion associated with an odd-dimensional finite volume hyperbolic manifold and a representation of the fundamental group which extends to the ambient Lie group. This generalizes a previous result due to Lück and Schick. Alternatively, this result can be regarded as the [Formula: see text]-analog of recent work by Müller and Rochon.