Generators in \(\mathcal{Z}\)-stable \(C^{\ast}\)-algebras of real rank zero
Summary: We show that every separable \(C^{\ast}\)-algebra of real rank zero that tensorially absorbs the Jiang-Su algebra contains a dense set of generators. It follows that, in every classifiable, simple, nuclear \(C^{\ast}\)-algebra, a generic element is a generator.
scientific article; zbMATH DE number 7674621
scientific article