[Publications][Nicolas Monod]

An obstruction to lp-dimension

For any group G containing an infinite elementary amenable subgroup, and any 2<p<∞, there exists closed invariant subspaces Ei ↑ ℓpG and F≠ 0 such that Ei∩ F = 0 for all i. This is an obstacle to p-dimension and gives a negative answer to a question of Gaboriau.

Authors: N. Monod, H.D. Petersen
Bibliographical: Annales de l'Institut Fourier 64 No. 4 (2014), 1363–1371
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[Publications][Nicolas Monod]