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

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)27-65
Number of pages39
JournalJournal fur die Reine und Angewandte Mathematik
Issue number617
DOIs
Publication statusPublished - 2008 Apr

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A construction of actions on Kirchberg algebras which induce given actions on their K-groups'. Together they form a unique fingerprint.

Cite this