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

• Autores: Peter A. Linnell, Wolfgang Lück, Roman Sauer
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 139, Nº 2, 2011, págs. 421-434
• Idioma: inglés
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• Resumen

  • We prove an analogue of the Approximation Theorem of -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.