Nuclear dimension of simple C*-algebras

• 成果类型: Article
• 署名作者: Castillejos, Jorge; Evington, Samuel; Tikuisis, Aaron; White, Stuart; Winter, Wilhelm
• 署名单位: KU Leuven; Polish Academy of Sciences; Institute of Mathematics of the Polish Academy of Sciences; University of Oxford; University of Ottawa; University of Glasgow; University of Munster
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-020-01013-1
• 发表日期: 2021
• 页码: 245-290
• 关键词: decomposition rank; covering dimension; central-sequences; inductive limits; z-stability; Finite; CLASSIFICATION; approximation; conjecture

摘要

We compute the nuclear dimension of separable, simple, unital, nuclear, Z-stable C*-algebras. This makes classification accessible from Z-stability and in particular brings large classes of C*-algebras associated to free and minimal actions of amenable groups on finite dimensional spaces within the scope of the Elliott classification programme.