Poly-Z group actions on Kirchberg algebras II

• 成果类型: Article
• 署名作者: Izumi, Masaki; Matui, Hiroki
• 署名单位: Kyoto University; Chiba University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-020-01019-9
• 发表日期: 2021
• 页码: 699-766
• 关键词: C-ASTERISK-ALGEBRAS; FINITE-GROUP ACTIONS; ROHLIN PROPERTY; outer actions; AUTOMORPHISMS; CLASSIFICATION; conjecture; STABILITY; nuclear

摘要

This is the second part of our serial work on the classification of poly-Z group actions on Kirchberg algebras. Based on technical results obtained in our previous work, we completely reduce the problem to the classification of continuous fields of Kirchberg algebras over the classifying spaces. As an application, we determine the number of cocycle conjugacy classes of outer Z(n)-actions on the Cuntz algebras.