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On coarse embeddability into $ℓ_{p}$ -spaces and a conjecture of Dranishnikov

Piotr W. Nowak — 2006

Fundamenta Mathematicae

We show that the Hilbert space is coarsely embeddable into any $ℓ_{p}$ for 1 ≤ p ≤ ∞. It follows that coarse embeddability into ℓ₂ and into $ℓ_{p}$ are equivalent for 1 ≤ p < 2.

Hilbert C*-modules and amenable actions

Ronald G. Douglas; Piotr W. Nowak — 2010

Studia Mathematica

We study actions of discrete groups on Hilbert C*-modules induced from topological actions on compact Hausdorff spaces. We show non-amenability of actions of non-amenable and non-a-T-menable groups, provided there exists a quasi-invariant probability measure which is sufficiently close to being invariant.

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On coarse embeddability into ℓ p -spaces and a conjecture of Dranishnikov

Hilbert C*-modules and amenable actions

On coarse embeddability into $ℓ_{p}$ -spaces and a conjecture of Dranishnikov