Z^N-actions on UHF algebras of infinite type

Abstract

We prove that all strongly outer Z^N-actions on a UHF algebra of infinite type are strongly cocycle conjugate to each other. We also prove that all strongly outer, asymptotically representable Z^N-actions on a unital simple AH algebra with real rank zero, slow dimension growth and finitely many extremal tracial states are cocycle conjugate to each other.

19 pages

References in corpus (2)

• Classification of outer actions of Z^N on O_2
• Classification of uniformly outer actions of Z^2 on UHF algebras

Cited by in corpus (1)

• Quasi-free actions of finite groups on the Cuntz algebra ${\mathcal{O}}_{\infty }$