We prove equality of analytic and topological $L^2$-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 $L^2$-analog of recent work by Müller and Rochon.

中文翻译：

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双曲晶格表示的 L2 扭转

我们证明了解析和拓扑的等式$L^2$-与奇数维有限体积双曲流形相关联的扭转以及延伸到环境李群的基本群的表示。这概括了 Lück 和 Schick 先前的结果。或者，这个结果可以被视为$L^2$-Müller 和 Rochon 最近的工作的模拟。