Dual operator algebras with normal virtual h-diagonal.

Jean Roydor (1)

1 IMB - Institut de Mathématiques de Bordeaux

We study the class of dual operator algebras admitting a normal virtual h-diagonal (i.e. a diagonal in the normal Haagerup tensor product), this property can be seen as a dual operator space version of amenability. After giving several characterizations of these algebras, we show this class is stable under algebraic perturbations and cb-isomorphisms with small bound. We also prove some perturbation results for the Kadison-Kastler metric.

Domaines: Analyse fonctionnelle [math.FA]

Jean Roydor. Dual operator algebras with normal virtual h-diagonal.. Integral Equations Operator Theory, 2012, Integral Equations Operator Theory 73 (2012), no. 3, 365-382. ⟨hal-01016331⟩