Classification of uniformly outer actions of Z^2 on UHF algebras
Operator Algebras
2007-08-31 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0708.4073,
title = {Classification of uniformly outer actions of Z^2 on UHF algebras},
author = {Takeshi Katsura and Hiroki Matui},
journal= {arXiv preprint arXiv:0708.4073},
year = {2007}
}
Comments
27 pages