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arXiv · 1004.3103

Z^N-actions on UHF algebras of infinite type

Hiroki Matui
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Abstract

We prove that all strongly outer Z^N-actions on a UHF algebra of infinite type are strongly cocycle conjugate to each other. We also prove that all strongly outer, asymptotically representable Z^N-actions on a unital simple AH algebra with real rank zero, slow dimension growth and finitely many extremal tracial states are cocycle conjugate to each other.

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Hiroki Matui. 2010-07-13. Z^N-actions on UHF algebras of infinite type. https://arxiv.org/abs/1004.3103

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