Uniqueness of the injective III1 factor. Lecture notes in mathematics ; Vol. 1413

Wright, Steve,

ISBN 10: 3540521305 / ISBN 13: 9783540521303

Editore: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong : Springer, 1989

Riguardo questo articolo

108 pages Ex-Library book in good condition. 9783540521303 Sprache: Englisch Gewicht in Gramm: 227.

Codice articolo 1160681

Dati bibliografici

• Titolo: Uniqueness of the injective III1 factor. Lecture notes in mathematics ; Vol. 1413
• Editore: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong : Springer
• Data di pubblicazione: 1989
• Lingua: Inglese
• ISBN 10: 3540521305
• ISBN 13: 9783540521303
• Rilegatura: Brossura
• Peso: 227 grammi
• Cataloghi dei venditori:
  • AA Varia

Descrizione articolo

Riassunto

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.

Contenuti

Connes' reduction of the uniqueness proof to the bicentralizer problem.- Haagerup's solution of the bicentralizer problem.