Abstract
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 that this class is stable under algebraic perturbations and cb-isomorphisms with small bound. We also prove some perturbation results for the Kadison-Kastler metric.
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Roydor, J. Dual Operator Algebras with Normal Virtual h-Diagonal. Integr. Equ. Oper. Theory 73, 365–382 (2012). https://doi.org/10.1007/s00020-012-1946-z
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DOI: https://doi.org/10.1007/s00020-012-1946-z