ENGLISH

Uniqueness of the Injective III1 Factor

By Steve Wright (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1989
ISBN
978-3-540-52130-3, 978-3-540-46903-2
DOI
10.1007/BFb0090178
Language
english
Format
PDF
Filesize
2 MB (1694575 bytes)
Series
Lecture Notes in Mathematics 1413
Edition
1
Pages
114\111
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Analysis;Mathematical and Computational Physics

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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