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Morita Equivalence and ContinuousTrace $C^*$Algebras
Morita Equivalence and ContinuousTrace $C^*$Algebras
by
Iain Raeburn and Dana P. Williams
In this text, Iain Raeburn and I give a modern treatment of the classification of continuoustrace $C^*$algebras up to Morita equivalence. This includes a detailed discussion of Morita equivalence of $C^*$algebras, a review of the necessary sheaf cohomology, and an introduction to recent developments in the area. The book is accessible to students who are beginning research in operator algebras after a standard oneterm course in $C^*$algebras. We have included introductions to necessary but nonstandard background. Thus we have developed the general theory of Morita equivalence using Hilbert modules, discussed the spectrum and primitive ideal space of a $C^*$algebra including many examples, and presented the necessary facts on tensor products of $C^*$algebras starting from scratch. Motivational material and comments designed to place the theory in a more general context are included. The text is selfcontained and would be suitable for an advanced graduate or an independent study course.
 This book is volume 60 of the American Mathematical Society's Survey and Monograph series (ISBN 0821808605), and may be purchased from the Society's online bookstore.
 An HTML version of the table of contents is available.
 We are compiling a list of typographical errors and corrections, and the most current version is available here.
 We would appreciate seeing any comments you have and/or typographical errors you might find. You can email either of us at dana DOT williams AT dartmouth DOT edu or iraeburn AT maths DOT otago DOT ac DOT au.
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Last modified on December 21, 2012