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Equivariant connected sums of compact self-dual manifolds.

Henrik Petersen; Yat Sun Poon — 1995

Mathematische Annalen

An obstruction to $ℓ^{p}$ -dimension

Nicolas Monod; Henrik Densing Petersen — 2014

Annales de l’institut Fourier

Let $G$ be any group containing an infinite elementary amenable subgroup and let $2 < p < \infty$ . 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.

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Equivariant connected sums of compact self-dual manifolds.

An obstruction to ℓ p -dimension

An obstruction to $ℓ^{p}$ -dimension