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

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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.
27 pages

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Operator Algebras, 46L55

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http://salesiana.dossiersoluciones.com/handle/123456789/137008

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.4073
 http://arxiv.org/abs/0708.4073

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arXiv