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arXiv · 1003.0434

The limit of F_p-Betti numbers of a tower of finite covers with amenable fundamental groups

Peter Linnell·Wolfgang Lueck·Roman Sauer
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Abstract

We prove an analogue of the Approximation Theorem of L^2-Betti numbers by Betti numbers for arbitrary coefficient fields and virtually torsionfree amenable groups. The limit of Betti numbers is identified as the dimension of some module over the Ore localization of the group ring.

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Peter Linnell, Wolfgang Lueck, Roman Sauer. 2010-03-01. The limit of F_p-Betti numbers of a tower of finite covers with amenable fundamental groups. https://arxiv.org/abs/1003.0434

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