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Continuous Crossed Products and Type III Von Neumann Algebras

Continuous Crossed Products and Type III Von Neumann Algebras

Paperback

Series: London Mathematical Society Lecture Note, Book 31

AlgebraGeneral Mathematics

ISBN10: 0521219752
ISBN13: 9780521219754
Publisher: Cambridge University Press
Published: Jul 20 1978
Pages: 80
Weight: 0.29
Height: 0.28 Width: 5.98 Depth: 9.07
Language: English
The theory of von Neumann algebras has undergone rapid development since the work of Tonita, Takesaki and Conner. These notes, based on lectures given at the University of Newcastle upon Tyne, provide an introduction to the subject and demonstrate the important role of the theory of crossed products. Part I deals with general continuous crossed products and proves the commutation theorem and the duality theorem. Part II discusses the structure of Type III von Neumann algebras and considers crossed products with modular actions. Restricting the treatment to the case of o-finite von Neumann algebras enables the author to work with faithful normal states.

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Algebra