Overview

This text develops an approach to the study of infinite-dimensional Jordan and Lie algebras and real associative *-algebras of operators on a Hilbert space. All these algebras are canonically generated by involutive antiautomorphisms of von Neumann algebras. The first purpose of the book is to study the deep structure theory for Jordan operator algebras similar to (complex) von Neumann algebras theory, such as type classification, traces, conjugacy of automorphisms and antiautomorphisms, injectivity, amenability, and semidiscreteness. The second aim is to investigate pure algebraic problems concerning Jordan and Lie structure in prime and simple rings with involution in the frame work of operator algebras. These pure algebraic results give additional information on properties of single operators on a Hilbert space.

Full Product Details

Author:   Sh. Ayupov ,  Abdugafur Rakhimov ,  Shukhrat Usmanov
Publisher:   Springer
Imprint:   Springer
Edition:   1997 ed.
Volume:   418
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   1.150kg
ISBN:  

9780792346845

ISBN 10:   079234684
Pages:   230
Publication Date:   31 July 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Preliminaries.- 1: Jordan Operator Algebras.- 2: Real Structure in W*-Algebras.- 3: Lie Structure in Operator Algebras.- References.

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