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Morita Equivalence and Continuous-Trace $C^*$-Algebras (Mathematical Surveys and Monographs)
Rok: 1998
ISBN: 9780821808603
OKCZID: 110408020
Citace (dle ČSN ISO 690):
RAEBURN, Iain. Morita equivalence and continuous-trace C*-algebras. Providence, R.I.: American Mathematical Society, [1998]. xiv, 327 stran. Mathematical surveys and monographs, volume 60.
Anotace
In this text, the authors give a modern treatment of the classification of continuous-trace $C^*$-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 one-term course in $C^*$-algebras. The authors have included introductions to necessary but nonstandard background. Thus they have developed the general theory of Morita equivalence from the Hilbert module, 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 self-contained and would be suitable for an advanced graduate or an independent study course.