Classification of actions of discrete Kac algebras on injective factors

The authors study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. They construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a...

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Detalles Bibliográficos
Autores principales: Masuda, Toshihiko, Tomatsu, Reiji
Lenguaje:eng
Publicado: American Mathematical Society 2017
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2279721
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author Masuda, Toshihiko
Tomatsu, Reiji
author_facet Masuda, Toshihiko
Tomatsu, Reiji
author_sort Masuda, Toshihiko
collection CERN
description The authors study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. They construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, the authors show that the Connes-Takesaki module is a complete invariant.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2017
publisher American Mathematical Society
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spelling cern-22797212021-04-21T19:05:50Zhttp://cds.cern.ch/record/2279721engMasuda, ToshihikoTomatsu, ReijiClassification of actions of discrete Kac algebras on injective factorsMathematical Physics and MathematicsThe authors study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. They construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, the authors show that the Connes-Takesaki module is a complete invariant.American Mathematical Societyoai:cds.cern.ch:22797212017
spellingShingle Mathematical Physics and Mathematics
Masuda, Toshihiko
Tomatsu, Reiji
Classification of actions of discrete Kac algebras on injective factors
title Classification of actions of discrete Kac algebras on injective factors
title_full Classification of actions of discrete Kac algebras on injective factors
title_fullStr Classification of actions of discrete Kac algebras on injective factors
title_full_unstemmed Classification of actions of discrete Kac algebras on injective factors
title_short Classification of actions of discrete Kac algebras on injective factors
title_sort classification of actions of discrete kac algebras on injective factors
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2279721
work_keys_str_mv AT masudatoshihiko classificationofactionsofdiscretekacalgebrasoninjectivefactors
AT tomatsureiji classificationofactionsofdiscretekacalgebrasoninjectivefactors

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