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Author: Igor Fulman Publisher: American Mathematical Soc. ISBN: 0821805576 Category : Mathematics Languages : en Pages : 122
Book Description
In this book, the author introduces and studies the construction of the crossed product of a von Neumann algebra. This construction is the generalization of the construction of the crossed product of an abelian von Neumann algebra by an equivalence relation introduced by J. Feldman and C. C. Moore. Many properties of this construction are proved in the general case. In addition, the generalizations of the Spectral Theorem on Bimodules and of the theorem on dilations are proved.
Author: J. Dixmier Publisher: Elsevier ISBN: 0080960154 Category : Mathematics Languages : en Pages : 479
Book Description
In this book, we study, under the name of von Neumann algebras, those algebras generally known as “rings of operators“ or “W*-algebras.“ The new terminology, suggested by J. Dieudonng, is fully justified from the historical point of view. Certain of the results are valid for more general algebras. We have, however systematically avoided this kind of generalization, except when it would facilitate the study of von Neumann algebras themselves. Parts I and I1 comprise those results which at present appear to’be the most useful for applications, although we do not embark on the study of those applications. Part 111, which is more technical, is primarily intended for specialists; it is virtually independent of Part 11.