AF-embeddability of crossed products of Cuntz algebras

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


We investigate crossed products of Cuntz algebras by quasi-free actions of abelian groups. We prove that our algebras are AF-embeddable when actions satisfy a certain condition. We also give a necessary and sufficient condition that our algebras become simple and purely infinite, and consequently our algebras are either purely infinite or AF-embeddable when they are simple.

Original languageEnglish
Pages (from-to)427-442
Number of pages16
JournalJournal of Functional Analysis
Issue number2
Publication statusPublished - 2002 Dec 20
Externally publishedYes


  • AF-embedding
  • Crossed product
  • Cuntz algebra

ASJC Scopus subject areas

  • Analysis


Dive into the research topics of 'AF-embeddability of crossed products of Cuntz algebras'. Together they form a unique fingerprint.

Cite this