Continuous and Discrete Modules

Continuous and Discrete Modules

by Saad H. Mohamed, Bruno J. Muller, Bruno J. M. Ller
     
 

ISBN-10: 0521399750

ISBN-13: 9780521399753

Pub. Date: 02/28/2008

Publisher: Cambridge University Press

Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry:

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Overview

Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.

Product Details

ISBN-13:
9780521399753
Publisher:
Cambridge University Press
Publication date:
02/28/2008
Series:
London Mathematical Society Lecture Note Series, #147
Pages:
140
Product dimensions:
5.98(w) x 8.98(h) x 0.31(d)

Table of Contents

1. Injectivity and related concepts; 2. Quasi-continuous modules; 3. Continuous modules; 4. Quasi-discrete modules; 5. Discrete modules.

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