Every classifiable simple C*-algebra has a Cartan subalgebra

• 成果类型: Article
• 署名作者: Li, Xin
• 署名单位: University of London; Queen Mary University London
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-019-00914-0
• 发表日期: 2020
• 页码: 653-699
• 关键词: singular homology; CLASSIFICATION; nuclear

摘要

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.