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

Hiroki Matui; Takeshi Katsura

arxiv: 0708.4073 · v1 · submitted 2007-08-30 · 🧮 math.OA

Classification of uniformly outer actions of Z² on UHF algebras

Takeshi Katsura , Hiroki Matui This is my paper

classification 🧮 math.OA

keywords outeractionsuniformlyalgebrasclassificationcocycleconjugacyalgebra

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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.

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Classification of uniformly outer actions of Z² on UHF algebras

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