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Classification of a family of non almost...

Houdayer, Cyril...

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Classification of a family of non almost periodic free Araki-Woods factors by Houdayer, Cyril ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	19-05-2016
Summary	We obtain a complete classification of a large class of non almost periodic free Araki-Woods factors Γ(μ,m)" up to isomorphism. We do this by showing that free Araki-Woods factors Γ(μ,m)" arising from finite symmetric Borel measures μ on R whose atomic part μa is nonzero and not concentrated on {0} have the joint measure class C(⋁k≥1μ∗k) as an invariant. Our key technical result is a deformation/rigidity criterion for the unitary conjugacy of two faithful normal states. We use this to also deduce rigidity and classification theorems for free product von Neumann algebras.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1605.06057

Citation

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AMA 11th EditionReferences

Houdayer, Cyril. Classification of a family of non almost periodic free Araki-Woods factors. N.A. May 19, 2016. Accessed September 20, 2024. https://online.provdatabase.com/cite/22852

APA 7th EditionReferences

Houdayer, Cyril. (2016). Classification of a family of non almost periodic free Araki-Woods factors. N.A. https://online.provdatabase.com/cite/22852

Chicago 17th EditionReferences

Houdayer, Cyril. Classification of a family of non almost periodic free Araki-Woods factors. N.A. 2016. https://online.provdatabase.com/cite/22852

HarvardReferences

Houdayer, Cyril. (2016). Classification of a family of non almost periodic free Araki-Woods factors. [Online]. N.A. Available from: https://online.provdatabase.com/cite/22852. (Accessed 20 September 2024).

Harvard AustraliaReferences

Houdayer, Cyril, 2016, Classification of a family of non almost periodic free Araki-Woods factors, N.A, viewed 20 September 2024, <https://online.provdatabase.com/cite/22852>

MLA 9th EditionWorks Cited

Houdayer, Cyril. Classification of a family of non almost periodic free Araki-Woods factors. N.A, 2016. PROV Database, https://online.provdatabase.com/cite/22852.

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