16 citations · 38 across the 6 of their papers we have counts for
7 papers
-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices
Henrik Densing Petersen, Roman Sauer, Andreas Thom
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 computa…
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…
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…
An obstruction to -dimension
Nicolas Monod, Henrik Densing Petersen
For any group containing an infinite elementary amenable subgroup, and any , there exists closed invariant subspaces and such that $…
A groupoid approach to Lück's amenability conjecture
David Kyed, Henrik Densing Petersen
We prove that amenability of a discrete group is equivalent to dimension flatness of certain ring inclusions naturally associated with measure preserving actions of the group. This…
L^2-Betti Numbers of Locally Compact Groups
Henrik Densing Petersen
We introduce a notion of -Betti numbers for locally compact, second countable, unimodular groups. We study the relation to the standard notion of -Betti numbers of counta…