## AN OBSTRUCTION TO l(p)-DIMENSION

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 obstacle to l(p)-dimension and gives an answer to a question of Gaboriau.

Published in:
Annales de l'Institut Fourier, 64, 4, 1363-1371
Year:
2014
Publisher:
St Martin D Heres Cedex, Annales Inst Fourier
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