Mathematics – Operator Algebras
Scientific paper
2007-08-30
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.
Katsura Takeshi
Matui Hiroki
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