ar X iv : d g - ga / 9 70 60 06 v 1 6 J un 1 99 7 ON THE HOMOTOPY INVARIANCE OF L 2 TORSION FOR COVERING SPACES
نویسنده
چکیده
We prove the homotopy invariance of L 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 cohomology of the covering space vanishes, the homotopy invariance was established by Lück [Lu]. We also give some applications of our results.
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تاریخ انتشار 1997