Uniqueness of the Injective III1 Factor

Uniqueness of the Injective III1 Factor

by Steve Wright
     
 

ISBN-10: 0387521305

ISBN-13: 9780387521305

Pub. Date: 12/28/1989

Publisher: Springer-Verlag New York, LLC

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

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Overview

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.

Product Details

ISBN-13:
9780387521305
Publisher:
Springer-Verlag New York, LLC
Publication date:
12/28/1989
Series:
Lecture Notes in Mathematics, #1413
Pages:
108
Product dimensions:
9.21(w) x 6.14(h) x 0.81(d)

Table of Contents

Contents: Introduction.- Part I: Connes' Reduction of the Uniqueness Proof to the Bicentralizer Problem.- Part II: Haagerup's Solution of the Bicentralizer Problem.- References.- Index.

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