16 citations · 38 across the 6 of their papers we have counts for
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math.GR2013★ 2 cited
L^2-Betti numbers and Plancherel measure
Henrik Densing Petersen, Alain Valette
We compute -Betti numbers of postliminal, locally compact, unimodular groups in terms of ordinary dimensions of reduced cohomology with coefficients in irreducible unitary rep…
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…