Outer Actions of a Discrete Amenable Group on Approximately Finite Dimensional Factors III, The Type $\text{III}_λ$ Case, $\pmb{0<λ<1}$, Examples

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dc.creatorKatayama, Yoshikazu
dc.creatorTakesaki, Masamichi
dc.date2009-03-21
dc.date.accessioned2026-07-07T12:55:32Z
dc.date.available2026-07-07T12:55:32Z
dc.descriptionIn this last article of the series on outer actions of a countable dicrete amenable group on AFD factors, we analyze outer actions of a countable discrete free abelian group on an AFD factor of type $\text{III}_λ$, $0<λ< 1$, and compute outer conjugacy invariants. As a byproduct, we discover the asymmetrization technique for coboundary condition on a $\Bbb T$-valued cocycle of a torsion free abelian group, which might have been known by the group cohomologists. As the asymmetrization technique gives us a very handy criteria for coboundaries, we present it here in detail in the second section.
dc.description78pages
dc.identifierhttps://arxiv.org/abs/0903.3673
dc.identifierhttp://arxiv.org/abs/0903.3673
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224283
dc.subjectOperator Algebras
dc.subject46L40
dc.titleOuter Actions of a Discrete Amenable Group on Approximately Finite Dimensional Factors III, The Type $\text{III}_λ$ Case, $\pmb{0<λ<1}$, Examples
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