G. Pisier

activity

19992004

most citedCompletely bounded maps into certain Hilbertian operator spaces

4 citations · 5 across the 5 of their papers we have counts for

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math.OA2004

A similarity degree characterization of nuclear $C^{*}$ -algebras

Gilles Pisier

We show that a $C^{*}$ -algebra $A$ is nuclear iff there is a constant $K$ and $α < 3$ such that, for any bounded homomorphism $u : A \to B (H)$ , there is an isomorphism $ξ\colon H\t…

math.OA2004

Are Unitarizable Groups Amenable?

Gilles Pisier

We give a new formulation of some of our recent results on the following problem: if all uniformly bounded representations on a discrete group $G$ are similar to unitary ones, is t…

math.OA2004★ 4 cited

Completely bounded maps into certain Hilbertian operator spaces

Gilles Pisier

We prove a factorization of completely bounded maps from a $C^{*}$ -algebra $A$ (or an exact operator space $E \subset A$ ) to $ℓ_{2}$ equipped with the operator space structure of $(C…

A similarity degree characterization of nuclear C∗-algebras

Are Unitarizable Groups Amenable?

Completely bounded maps into certain Hilbertian operator spaces

A similarity degree characterization of nuclear $C^{*}$ -algebras