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.
|Number of pages||29|
|Journal||Advances in Mathematics|
|Publication status||Published - 2008 Jun 20|
- Cocycle conjugacy
- Rohlin property
ASJC Scopus subject areas