Uniqueness of the Injective III1 Factor (Lecture Notes in Mathematics, 1413)

Wright, Steve

ISBN 10: 3540521305 ISBN 13: 9783540521303

Editorial: Springer, 1989

Idioma: Ingl�s

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T�tulo

Uniqueness of the Injective III1 Factor (Lecture Notes in Mathematics, 1413)

Editor

Springer

Fecha de publicaci�n

1989

Idioma

Ingl�s

ISBN 10

3540521305

ISBN 13

9783540521303

Encuadernaci�n

Encuadernaci�n de tapa blanda

Estado

New

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Sinopsis

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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