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Z^N-actions on UHF algebras of infinite type

Authors
  • Matui, Hiroki
Type
Preprint
Publication Date
Jul 13, 2010
Submission Date
Apr 19, 2010
Identifiers
arXiv ID: 1004.3103
Source
arXiv
License
Yellow
External links

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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