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On coarse embeddability into $ℓ_p$-spaces and a conjecture of Dranishnikov

100%

Nowak P.

Fundamenta Mathematicae

2006

tom 189

nr 2

111-116

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

63%

Douglas R., Nowak P.

Studia Mathematica

2010

tom 199

nr 2

185-197

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.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Studia Mathematica

2 Nowak P.

1 Douglas R.

1 2010

1 2006

Wyniki wyszukiwania

On coarse embeddability into $ℓ_p$-spaces and a conjecture of Dranishnikov

Hilbert C*-modules and amenable actions