Person
Henrik Densing Petersen
This person is no longer with EPFL
Related publications (4)
L-2-Betti numbers and Plancherel measure
Henrik Densing Petersen, Alain Valette
We compute L-2-Betti numbers of postliminal, locally compact, unimodular groups in terms of ordinary dimensions of reduced cohomology with coefficients in irreducible unitary representations and the Plancherel measure. This allows us to compute the L-2-Bet ...
Academic Press Inc Elsevier Science2014A Groupoid Approach to Luck's Amenability Conjecture
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 provides a group-measure space theoretic solution to a conjecture of Luck s ...
Osaka Journal Of Mathematics2014AN OBSTRUCTION TO l(p)-DIMENSION
Nicolas Monod, Henrik Densing Petersen
Let G be any group containing an infinite elementary amenable subgroup and let 2 < p < infinity. We construct an exhaustion of l(p) G by closed invariant subspaces which all intersect trivially a fixed non-trivial closed invariant subspace. This is an obst ...
Annales Inst Fourier2014L-2-Betti numbers of locally compact groups
The present paper is a summary and overview of results obtained in the author's thesis, "L-2-Betti Numbers of Locally Compact Groups", wherein the definition of L-2-Betti numbers for countable groups is extended to locally compact unimodular groups. In man ...
Elsevier2013