Classification of uniformly outer actions of Z^2 on UHF algebras

Abstract

We give a complete classification up to cocycle conjugacy of uniformly outer actions of Z^2 on UHF algebras. In particular, it is shown that any two uniformly outer actions of Z^2 on a UHF algebra of infinite type are cocycle conjugate. We also classify them up to outer conjugacy.

27 pages

References in corpus (1)

• Approximate Homotopy of Homomorphisms from $C(X)$ into a Simple $C^{\ast }$-algebra

Cited by in corpus (1)

• Z^N-actions on UHF algebras of infinite type