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Uniqueness of the injective III1 factor

Based on lectures delivered to the Seminar on Operator Algebras at Oakland University during the Winter semesters of 1985 and 1986, these notes are a detailed exposition of recent work of A. Connes and U. Haagerup which together constitute a proof that all injective factors of type III1 which act on...

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Autor principal: Wright, Steve
Lenguaje:eng
Publicado: Springer 1989
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0090178
http://cds.cern.ch/record/1691487
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author Wright, Steve
author_facet Wright, Steve
author_sort Wright, Steve
collection CERN
description Based on lectures delivered to the Seminar on Operator Algebras at Oakland University during the Winter semesters of 1985 and 1986, these notes are a detailed exposition of recent work of A. Connes and U. Haagerup which together constitute a proof that all injective factors of type III1 which act on a separable Hilbert space are isomorphic. This result disposes of the final open case in the classification of the separably acting injective factors, and is one of the outstanding recent achievements in the theory of operator algebras. The notes will be of considerable interest to specialists in operator algebras, operator theory and workers in allied areas such as quantum statistical mechanics and the theory of group representations.
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spelling cern-16914872021-04-21T21:09:32Zdoi:10.1007/BFb0090178http://cds.cern.ch/record/1691487engWright, SteveUniqueness of the injective III1 factorMathematical Physics and MathematicsBased on lectures delivered to the Seminar on Operator Algebras at Oakland University during the Winter semesters of 1985 and 1986, these notes are a detailed exposition of recent work of A. Connes and U. Haagerup which together constitute a proof that all injective factors of type III1 which act on a separable Hilbert space are isomorphic. This result disposes of the final open case in the classification of the separably acting injective factors, and is one of the outstanding recent achievements in the theory of operator algebras. The notes will be of considerable interest to specialists in operator algebras, operator theory and workers in allied areas such as quantum statistical mechanics and the theory of group representations.Springeroai:cds.cern.ch:16914871989
spellingShingle Mathematical Physics and Mathematics
Wright, Steve
Uniqueness of the injective III1 factor
title Uniqueness of the injective III1 factor
title_full Uniqueness of the injective III1 factor
title_fullStr Uniqueness of the injective III1 factor
title_full_unstemmed Uniqueness of the injective III1 factor
title_short Uniqueness of the injective III1 factor
title_sort uniqueness of the injective iii1 factor
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0090178
http://cds.cern.ch/record/1691487
work_keys_str_mv AT wrightsteve uniquenessoftheinjectiveiii1factor