Monod, NicolasPetersen, Henrik Densing2015-02-202015-02-202015-02-20201410.5802/aif.2883https://infoscience.epfl.ch/handle/20.500.14299/111140WOS:000348011700001Let 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 obstacle to l(p)-dimension and gives an answer to a question of Gaboriau.l(p)-dimensionabstract harmonic analysistext::journal::journal article::research article