Z^N-actions on UHF algebras of infinite type

Published 19 Apr 2010 in math.OA | (1004.3103v3)

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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Authors (1)

Hiroki Matui

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