Continuous crossed products and type III Von Neumann algebras / A. Van Daele.

Format:

Book

Author/Creator:

Daele, Alfons van, author.

Series:

London Mathematical Society lecture note series ; 31.

London Mathematical Society lecture note series ; 31

Language:

English

Subjects (All):

Von Neumann algebras--Crossed products.

Von Neumann algebras.

Physical Description:

1 online resource (vii, 68 pages) : digital, PDF file(s).

Other Title:

Continuous Crossed Products & Type III Von Neumann Algebras

Place of Publication:

Cambridge : Cambridge University Press, 1978.

Language Note:

English

Summary:

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.

Contents:

pt. 1. Crossed products of von Neumann algebras

pt. 2. The structure of type III von Neumann algebras.

Notes:

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

Includes bibliographical references (p. 65-66) and index.

ISBN:

1-139-88376-3

1-107-36580-5

1-107-37053-1

1-107-36089-7

1-107-36987-8

1-299-40361-1

1-107-36334-9

0-511-66239-4