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One-Parameter Automorphism Groups of the Injective Factor of Type II1 With Connes Spectrum Zero

Published online by Cambridge University Press:  20 November 2018

Yasuyuki Kawahigashi*
Affiliation:
Department of Mathematics, Faculty of Science University of Tokyo, Hongo, Tokyo, 113, Japan
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Abstract

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We construct a one-parameter automorphism group of the injective type II1 factor with Connes spectrum ﹛0﹜ which is not stably conjugate to an infinite tensor product action. We construct a countable family of one-parameter automorphism groups of the injective type II1 factor such that all are stably conjugate but no two are cocycle conjugate.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1991

References

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