Lecture Notes in Mathematics

Uniqueness of the Injective III1 Factor

Authors: Wright, Steve

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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.

Table of contents (3 chapters)

  • Introduction

    Wright, Steve

    Pages 1-8

  • Connes' reduction of the uniqueness proof to the bicentralizer problem

    Wright, Steve

    Pages 9-81

  • Haagerup's solution of the bicentralizer problem

    Wright, Steve

    Pages 82-105

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-46903-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.99
price for USA
  • ISBN 978-3-540-52130-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Uniqueness of the Injective III1 Factor
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1413
Copyright
1989
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46903-2
DOI
10.1007/BFb0090178
Softcover ISBN
978-3-540-52130-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VI, 114
Topics