Lectures on selected topics in von Neumann algebras

Lectures on selected topics in von Neumann al ...
Fumio Hiai, Fumio Hiai
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Last edited by MARC Bot
December 11, 2022 | History

Lectures on selected topics in von Neumann algebras

"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."- publisher

Publish Date
Publisher
EMS Press
Language
English
Pages
241

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Edition Availability
Cover of: Lectures on selected topics in von Neumann algebras
Lectures on selected topics in von Neumann algebras
2021, EMS Press
in English
Cover of: Lectures on selected topics in von Neumann algebras
Lectures on selected topics in von Neumann algebras
2021, EMS Press
in English

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Book Details


Table of Contents

Von Neumann algebras, an overview
Tomita-Takesaki modular theory
Standard form
[tau]-Measurable operators
Conditional expectations and generalized conditional expectations
Connes' cocycle derivatives
Operator-valued weights
Takesaki duality and structure theory
Haagerup's Lp-spaces
Relative modular operators and Connes' cocycle derivaties (continued)
Spatial derivatives and spatial Lp-spaces.

Edition Notes

Includes bibliographical references (pages 231-237) and index.

Published in
Berlin, Germany
Series
EMS series of lectures in mathematics, EMS series of lectures in mathematics
Copyright Date
2021

Classifications

Library of Congress
QA326 .H52 2021

The Physical Object

Pagination
viii, 241 pages
Number of pages
241

Edition Identifiers

Open Library
OL43877638M
ISBN 10
3985470049
ISBN 13
9783985470044
OCLC/WorldCat
1247837508

Work Identifiers

Work ID
OL32035894W

Source records

marc_columbia MARC record

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