Download E-books Morita Equivalence and Continuous-Trace $C^*$-Algebras (Mathematical Surveys and Monographs) PDF

By Iain Raeburn

During this textual content, the authors provide a contemporary remedy of the class of continuous-trace $C^*$-algebras as much as Morita equivalence. This contains a targeted dialogue of Morita equivalence of $C^*$-algebras, a overview of the mandatory sheaf cohomology, and an creation to contemporary advancements within the quarter. The e-book is on the market to scholars who're starting learn in operator algebras after a typical one-term direction in $C^*$-algebras. The authors have integrated introductions to useful yet nonstandard heritage. hence they've got built the final conception of Morita equivalence from the Hilbert module, mentioned the spectrum and primitive excellent area of a $C^*$-algebra together with many examples, and awarded the mandatory proof on tensor items of $C^*$-algebras ranging from scratch. Motivational fabric and reviews designed to put the speculation in a extra basic context are integrated. The textual content is self-contained and will be appropriate for a sophisticated graduate or an self sustaining research direction.

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