Crossed products of von Neumann algebras by equivalence relations and their subalgebras

書誌事項

Crossed products of von Neumann algebras by equivalence relations and their subalgebras

Igor Fulman

(Memoirs of the American Mathematical Society, no. 602)

American Mathematical Society, 1997

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注記

"March 1997, volume 126, number 602 (third of 5 numbers)"

Includes bibliography (p. 105-107)

内容説明・目次

内容説明

In this work, 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.

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