Titlebook: Mappings of Operator Algebras; Proceedings of the J Huzihiro Araki,Richard V. Kadison Conference proceedings 1991 Birkhäuser Boston, Inc. 1

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Mappings of Operator Algebras978-1-4612-0453-4Series ISSN 0743-1643 Series E-ISSN 2296-505X

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,The Powers’ Binary Shifts on the Hyperfinite Factor of Type II1, adjoint unitary . such that . = {σ.(.); . ∈ IN ∪ {0}}″ and σ.(.). = ±.σ.(.) for . ∈ IN ∪ {0}. Let .(σ) be the number min{. ∈ IN; σ.(.)∲ ∩. = ℂ.}. It is shown that the number .(σ) is not the complete outer conjugacy invariant for a Powers’ binary shift.