A construction of actions on Kirchberg algebras which induce given actions on their K-groups

研究成果: Article査読

22 被引用数 (Scopus)

抄録

We prove that every action of a finite group all of whose Sylow subgroups are cyclic on the K-theory of a Kirchberg algebra can be lifted to an action on the Kirchberg algebra. The proof uses a construction of Kirchberg algebras generalizing the one of Cuntz-Krieger algebras, and a result on modules over finite groups. As a corollary, every automorphism of the K-theory of a Kirchberg algebra can be lifted to an automorphism of the Kirchberg algebra with same order.

本文言語English
ページ(範囲)27-65
ページ数39
ジャーナルJournal fur die Reine und Angewandte Mathematik
617
DOI
出版ステータスPublished - 2008 4月
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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