Z^N-actions on UHF algebras of infinite type

Details Z^N-actions on UHF algebras of infinite type Z^N-actions on UHF algebras of infinite type

2010-04-19

arxiv.org/abs/1004.3103v3

Mathematics

Operator Algebras

19 pages

Scientific paper

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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