Approximating $L^2$ torsion on amenable covering spaces

Details Approximating $L^2$ torsion on amenable covering spaces Approximating $L^2$ torsion on amenable covering spaces

2000-08-28

arxiv.org/abs/math/0008211v2

Mathematics

Differential Geometry

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Scientific paper

It was pointed out to us that the proof of a crucial lemma (Lemma 5.3) in the paper is incorrect. Thus the approximation theorem (Theorem 0.1) for L^2 torsion of an amenable covering of a finite simplicial complex remains unproved. However, results and proofs of the first four sections (in particular, the approximation theorem (Theorem 0.3) for the spectral density function of an amenable covering) are correct.

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