English

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

Operator Algebras 2019-08-05 v2

Abstract

Toward the complete classification of poly-Z\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-Z\mathbb{Z} groups of Hirsch length not greater than three on unital Kirchberg algebras up to KKKK-trivial cocycle conjugacy.

Keywords

Cite

@article{arxiv.1810.05850,
  title  = {Poly-$\mathbb{Z}$ group actions on Kirchberg algebras I},
  author = {Masaki Izumi and Hiroki Matui},
  journal= {arXiv preprint arXiv:1810.05850},
  year   = {2019}
}

Comments

60 pages

R2 v1 2026-06-23T04:38:32.578Z