Daele, Alfons van,

Continuous crossed products and type III Von Neumann algebras / Continuous Crossed Products & Type III Von Neumann Algebras A. Van Daele. - Cambridge : Cambridge University Press, 1978. - 1 online resource (vii, 68 pages) : digital, PDF file(s). - London Mathematical Society lecture note series ; 31 . - London Mathematical Society lecture note series ; 31. .

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

9780511662393 (ebook)


Von Neumann algebras--Crossed products.

QA326 / .D34 1978

512/.55