Continuous and discrete modules [EBook] / Saad H. Mohamed, Bruno J. Müller.
Continuous and discrete modules [EBook] / Saad H. Mohamed, Bruno J. Müller.
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 co...
Personal Name(s):  Mohamed, Saad H., (author) 

Müller, Bruno J., (author)  
Imprint: 
Cambridge :
Cambridge University Press,
1990

Physical Description: 
1 online resource (126 pages) 
Note: 
englisch 
ISBN: 
9780511600692 9780521399753 
Series Title: 
London Mathematical Society lecture note series ;
147 
Subject (LOC):  
Full Text 
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 KrullSchmidt 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 selfcontained, 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. 