Classification of uniformly outer actions of Z2 on UHF algebras

Takeshi Katsura, Hiroki Matui

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Abstract

We give a complete classification up to cocycle conjugacy of uniformly outer actions of Z2 on UHF algebras. In particular, it is shown that any two uniformly outer actions of Z2 on a UHF algebra of infinite type are cocycle conjugate. We also classify them up to outer conjugacy.

Original languageEnglish
Pages (from-to)940-968
Number of pages29
JournalAdvances in Mathematics
Volume218
Issue number3
DOIs
Publication statusPublished - 2008 Jun 20

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Keywords

  • C-algebras
  • Cocycle conjugacy
  • Rohlin property

ASJC Scopus subject areas

  • Mathematics(all)

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