Uniqueness of the injective III₁ factor
By: Steve Wright.
Series: Lecture notes in mathematics ;; 1413; Lecture notes in mathematics (Springer-Verlag) ;; 1413.
Publisher: Springer-Verlag
Published: 1989
Place of publication: Berlin; New York
Language: eng
Number of pages: 108
Subjects: Von Neumann algebras.; Factors (Algebra)
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.
Notes: Includes bibliographical references (p. 106-107) and index.