Continuous and discrete modules /

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Bibliographic Details
Author / Creator:Mohamed, Saad H.
Imprint:Cambridge ; New York : Cambridge University Press, 1990.
Description:1 online resource (126 pages).
Language:English
Series:London Mathematical Society lecture note series ; 147
London Mathematical Society lecture note series ; 147.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11182575
Hidden Bibliographic Details
Other authors / contributors:Müller, Bruno J.
ISBN:9781107361669
1107361664
9780511892523
0511892527
0521399750
9780521399753
Notes:Includes bibliographical references (pages 108-121) and index.
Print version record.
Summary: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.
Other form:Print version: Mohamed, Saad H. Continuous and discrete modules. Cambridge ; New York : Cambridge University Press, 1990 0521399750