By Iain Raeburn
During this textual content, the authors supply a latest therapy of the class of continuous-trace $C^*$-algebras as much as Morita equivalence. This incorporates a specific dialogue of Morita equivalence of $C^*$-algebras, a overview of the required sheaf cohomology, and an advent to contemporary advancements within the zone. The ebook is obtainable to scholars who're starting study in operator algebras after a customary one-term direction in $C^*$-algebras. The authors have integrated introductions to worthy yet nonstandard history. therefore they've got constructed the overall thought of Morita equivalence from the Hilbert module, mentioned the spectrum and primitive excellent house of a $C^*$-algebra together with many examples, and offered the mandatory evidence on tensor items of $C^*$-algebras ranging from scratch. Motivational fabric and reviews designed to put the speculation in a extra common context are integrated. The textual content is self-contained and will be appropriate for a sophisticated graduate or an self reliant examine path.
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