Periodic and strongly free automorphisms on inclusions of type IIIλ factors

Phan H. Loi

doi:10.1142/s0129167x97000056

Periodic and strongly free automorphisms on inclusions of type IIIλ factors

Phan H. Loi

Mathematics and Statistics

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Abstract

We prove that a periodic and strongly free automorphism acting on a strongly amenable inclusion Q ⊂ P of type IIIλ factors, λ ∈ (0, 1), with a common discrete decomposition, is classified, up to conjugacy, by its period, its standard invariant on the type II core of Q ⊂ P, and its Connes-Takesaki module.

Original language	American English
Journal	International Journal of Mathematics
Volume	8
DOIs	https://doi.org/10.1142/s0129167x97000056
State	Published - Jan 1 1997

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abstract = " We prove that a periodic and strongly free automorphism acting on a strongly amenable inclusion Q ⊂ P of type IIIλ factors, λ ∈ (0, 1), with a common discrete decomposition, is classified, up to conjugacy, by its period, its standard invariant on the type II core of Q ⊂ P, and its Connes-Takesaki module.",

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AB - We prove that a periodic and strongly free automorphism acting on a strongly amenable inclusion Q ⊂ P of type IIIλ factors, λ ∈ (0, 1), with a common discrete decomposition, is classified, up to conjugacy, by its period, its standard invariant on the type II core of Q ⊂ P, and its Connes-Takesaki module.

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M3 - Article

VL - 8

JO - International Journal of Mathematics

JF - International Journal of Mathematics

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Periodic and strongly free automorphisms on inclusions of type IIIλ factors

Abstract

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