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Abstract for MSRI Preprint 2000-035

Stable C*-algebras

Mikael Rørdam

We give a survey of known results, and add some new results, about stable $C^*$-algebras. The main themes in the article are to characterize stable $C^*$-algebras, to discuss permanence properties of the class of stable $C^*$-algebras, and to investigate the relation between this topic and the structure problem for simple $C^*$-algebras.