Volume 158 1987 95 148. Haagerup which together constitute a proof that all injective factors of type iii1 which act on a separable hilbert space are isomorphic.
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Uniqueness Of The Injective Iii1 Factor Download Free. 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. Search for library items search for lists search for contacts search for a library. Create lists bibliographies and reviews.
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. 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 bicentralizer problem and uniqueness of the injective factor of type iii 1.
Haagerup which together constitute a proof that all injective factors of type iii1 which act on a separable hilbert space are isomorphic. Worldcat home about worldcat help. Factors namely the uniqueness problem for injective factors of type iii1.
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Uniqueness of the injective iii1 factor. Find items in libraries near you. The present paper taken from his unpublished notes presents a direct proof of this uniqueness by showing that any injective fac tor of type iii1 is an infinite tensor product of type i factors so that the uniqueness follows from the arakiwoods classification.
Factor of type iiil by proving that every injective factor of type iiil has a normal faithful state 9 such that bcl. 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. Search for library items search for lists search for contacts search for a library.
Create lists bibliographies and reviews. The starting point in our proof is the connes takesaki relative commutant. Connes bicentralizer problem and uniqueness of the injective factor of type iii 1.
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