AF-embeddability of crossed products of Cuntz algebras

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Abstract

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
Volume196
Issue number2
DOIs
Publication statusPublished - 2002 Dec 20
Externally publishedYes

Keywords

  • AF-embedding
  • Crossed product
  • Cuntz algebra

ASJC Scopus subject areas

  • Analysis

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