$L^2$-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices

Andreas Thom; Henrik Densing Petersen; Roman Sauer

arxiv: 1612.04559 · v3 · pith:LQSAFYPAnew · submitted 2016-12-14 · 🧮 math.GR · math.AT· math.OA

L²-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices

Henrik Densing Petersen , Roman Sauer , Andreas Thom This is my paper

classification 🧮 math.GR math.ATmath.OA

keywords bettinumbersdisconnectedgroupstotallyapproximationgenerallattices

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The main result is a general approximation theorem for normalised Betti numbers for Farber sequences of lattices in totally disconnected groups. Further, we contribute some computations and complements to the general theory of $L^2$-Betti numbers of totally disconnected groups.

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L²-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices

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