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Lectures on Selected Topics in von N...

Hiai, Fumio,

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Lectures on Selected Topics in von Neumann Algebras

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lectures on Selected Topics in von Neumann Algebras/ Fumio Hiai
Author:	Hiai, Fumio,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2021,
Description:	1 online resource (250 pages)
Subject:	Functional analysis -
Online resource:	https://doi.org/10.4171/ELM/32
Online resource:	https://www.ems-ph.org/img/books/hiai_mini.jpg
ISBN:	9783985475049

Lectures on Selected Topics in von Neumann Algebras
Hiai, Fumio,

Lectures on Selected Topics in von Neumann Algebras[electronic resource] /Fumio Hiai - Zuerich, Switzerland :European Mathematical Society Publishing House,2021 - 1 online resource (250 pages) - EMS Series of Lectures in Mathematics (ELM) ;2523-5176.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783985475049

Standard No.: 10.4171/ELM/32doiSubjects--Topical Terms:

731345
Functional analysis

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