most citedL^2-Betti numbers of locally compact groups and their cross section equivalence relations

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math.GR2013★ 10 cited

L^2-Betti numbers of locally compact groups and their cross section equivalence relations

David Kyed, Henrik Densing Petersen, Stefaan Vaes

We prove that the L^2-Betti numbers of a unimodular locally compact group G coincide, up to a natural scaling constant, with the L^2-Betti numbers of the countable equivalence rela…