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arxiv: 1004.3103 · v3 · submitted 2010-04-19 · 🧮 math.OA

Z^N-actions on UHF algebras of infinite type

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keywords n-actionsstronglyalgebracocycleconjugateinfiniteotherouter
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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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