Continuous and Discrete Modules

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.