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Memoirs of the American Mathematical Society
1997; 107 pp; softcover
List Price: US$44
Individual Members: US$26.40
Institutional Members: US$35.20
Order Code: MEMO/126/602
In this book, the author introduces and studies the construction of the crossed product of a von Neumann algebra \(M = \int _X M(x)d\mu (x)\) by an equivalence relation on \(X\) with countable cosets. 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.
Graduate students and research mathematicians interested in operator algebras.
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