On the homotopy invariance of L^2 torsion for covering spaces

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We prove the homotopy invariance of L^2 torsion for covering spaces, whenever the covering transformation group is either residually finite or amenable. In the case when the covering transformation group is residually finite and when the L^2 cohomology of the covering space vanishes, the homotopy invariance was established earlier by Lueck. We also give some applications of our results.
LaTeX2e, 10 pages

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Differential Geometry, 58 (Primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/152248

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9706006
 http://arxiv.org/abs/dg-ga/9706006
 Proc. Amer. Math. Soc., 126 (1998) 887-897

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arXiv