Abstract

This paper is devoted to dual algebras, that is w *-closed algebras of bounded operators on Hilbert space. We give abstract characterizations of unital dual algebras (resp. dual algebras) up to w *-homeomorphic unital complete isometry (resp. complete isomorphism). The results we obtain are natural w *-versions of analogous characterizations due to Blecher-Ruan-Sinclair and Blecher respectively, in the category of operator algebras.

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