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

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

2007-08-30

arxiv.org/abs/0708.4073v1

Mathematics

Operator Algebras

27 pages

Scientific paper

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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