Lectures on selected topics in von Neumann algebras [electronic resource] / Fumio Hiai

Format:

Book

Author/Creator:

Hiai, Fumio, author.

Series:

EMS series of lectures in mathematics.

EMS Series of Lectures in Mathematics (ELM) ; 2523-5176

Language:

English

Subjects (All):

Von Neumann algebras.

Physical Description:

1 online resource (250 pages)

Place of Publication:

Zuerich, Switzerland : European Mathematical Society Publishing House, 2021

Language Note:

English

System Details:

text file PDF

Summary:

The theory of von Neumann algebras, originating with the work of F. J. Murray and J. von Neumann in the late 1930s, has grown into a rich discipline with connections to different branches of mathematics and physics. Following the breakthrough of Tomita-Takesaki theory, many great advances were made throughout the 1970s by H. Araki, A. Connes, U. Haagerup, M. Takesaki and others. These lecture notes aim to present a fast-track study of some important topics in classical parts of von Neumann algebra theory that were developed in the 1970s. Starting with Tomita-Takesaki theory, this book covers topics such as the standard form, Connes' cocycle derivatives, operator-valued weights, type III structure theory and non-commutative integration theory. The self-contained presentation of the material makes this book useful not only to graduate students and researchers who want to know the fundamentals of von Neumann algebras, but also to interested undergraduates who have a basic knowledge of functional analysis and measure theory.

Notes:

Includes bibliographical references and index.

Description based on online resource; title from digital title page (viewed on August 06, 2021).

ISBN:

3-9854750-4-0

3985475040

9783985475049