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arXiv · 1810.05850

Poly-$\mathbb{Z}$ group actions on Kirchberg algebras I

Masaki Izumi·Hiroki Matui
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Abstract

Toward the complete classification of poly-$\mathbb{Z}$ group actions on Kirchberg algebras, we prove several fundamental theorems that are used in the classification. In addition, as an application of them, we classify outer actions of poly-$\mathbb{Z}$ groups of Hirsch length not greater than three on unital Kirchberg algebras up to $KK$-trivial cocycle conjugacy.

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Masaki Izumi, Hiroki Matui. 2018-10-13. Poly-$\mathbb{Z}$ group actions on Kirchberg algebras I. https://arxiv.org/abs/1810.05850

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