© 1989

Uniqueness of the Injective III1 Factor

  • Authors

Part of the Lecture Notes in Mathematics book series (LNM, volume 1413)

Table of contents

  1. Front Matter
    Pages I-III
  2. Steve Wright
    Pages 1-8
  3. Back Matter
    Pages 106-108

About this book


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.


Hilbert space Operatoralgebra Quantenmechanik algebra operator theory

Bibliographic information

  • Book Title Uniqueness of the Injective III1 Factor
  • Authors Steve Wright
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-52130-3
  • eBook ISBN 978-3-540-46903-2
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VI, 114
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
    Theoretical, Mathematical and Computational Physics
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