# Every classifiable simple C*-algebra has a Cartan subalgebra

Inventiones mathematicae, Aug 2019

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.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2Fs00222-019-00914-0.pdf

Xin Li. Every classifiable simple C*-algebra has a Cartan subalgebra, Inventiones mathematicae, 2019, 1-47, DOI: 10.1007/s00222-019-00914-0