Approximating $L^2$ torsion on amenable covering spaces

Jozef Dodziuk; Varghese Mathai; Stuart Yates

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Approximating $L^2$ torsion on amenable covering spaces

Jozef Dodziuk·Varghese Mathai·Stuart Yates

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Abstract

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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Jozef Dodziuk, Varghese Mathai, Stuart Yates. 2000-09-12. Approximating $L^2$ torsion on amenable covering spaces. https://arxiv.org/abs/math/0008211

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