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Poly-$${\mathbb {Z}}$$ group actions on Kirchberg algebras II
Inventiones mathematicae ( IF 2.6 ) Pub Date : 2020-11-20 , DOI: 10.1007/s00222-020-01019-9
Masaki Izumi , Hiroki Matui

This is the second part of our serial work on the classification of poly- $${\mathbb {Z}}$$ 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 $${\mathbb {Z}}^n$$ -actions on the Cuntz algebras.

中文翻译:

Poly-$${\mathbb {Z}}$$ 在 Kirchberg 代数 II 上的群作用

这是我们在 Kirchberg 代数上对 poly-$${\mathbb {Z}}$$ 群作用进行分类的系列工作的第二部分。基于我们之前工作中获得的技术结果,我们将问题完全归结为在分类空间上对 Kirchberg 代数的连续域进行分类。作为一个应用,我们确定了 Cuntz 代数上外部 $${\mathbb {Z}}^n$$ -actions 的共循环共轭类的数量。
更新日期:2020-11-20
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