Classification of uniformly outer actions of Z² on UHF algebras

2007/08/30 by Katsura, Takeshi, Matui, Hiroki · 1 citation
#46L55 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0708.4073

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.

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