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The Residually Nite View: Approximation

  • Clara LöhEmail author
Chapter
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Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

The L2-Betti numbers are related to classical Betti numbers through approximation by the normalised Betti numbers of finite index subgroups/finite coverings. We explain the (spectral) proof of this approximation theorem and briefly discuss the relation with other (homological) gradient invariants. This residually finite view will be complemented by the dynamical view in Chap.  5 and the approximation theorems for lattices in Chap.  6.

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Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Fakultät für MathematikUniversität RegensburgRegensburgGermany

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