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Every classifiable simple C*-algebra has a Cartan subalgebra

Every classifiable simple C*-algebra has a Cartan subalgebra

We construct Cartan subalgebras in all classifiable stably finite C*-algebras. Together with known constructions of Cartan subalgebras in all UCT Kirchberg algebras, this shows that every classifiable simple C*-algebra has a Cartan subalgebra.