Every classifiable simple C*-algebra has a Cartan subalgebra

2018/02/04 by Xin Li, Li, Xin
Mathematics · Physics and Astronomy · #46L35 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #Primary 46L05 #Secondary 22A22

paper · pdf · doi:10.48550/arxiv.1802.01190

openalex publication_date 2018/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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