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

2010/03/01 by Peter A. Linnell, Linnell, Peter, Wolfgang Lueck +3 · 1 citation
Computer Science · Mathematics · #16U20 #55P99 #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #K-Theory and Homology (math.KT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1003.0434

openalex publication_date 2010/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove an analogue of the Approximation Theorem of L²-Betti numbers by\nBetti numbers for arbitrary coefficient fields and virtually torsionfree\namenable groups. The limit of Betti numbers is identified as the dimension of\nsome module over the Ore localization of the group ring.\n

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• Profinite properties of Coxeter groups

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