Every classifiable simple C*-algebra has a Cartan subalgebra

By Xin Li. Inventiones Mathematicae, 2018

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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.

Subfields: Algebra and Number Theory, Mathematical Physics, Statistical and Nonlinear Physics

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