This book examines some recent developments in the theory of $C^*$-algebras, which are algebras of operators on Hilbert spaces. An elementary introduction to the technical part of the theory is given via a basic homotopy lemma concerning a pair of almost commuting unitaries. The book presents an outline of the background as well as some recent results of the classification of simple amenable $C^*$-algebras, otherwise known as the Elliott program. This includes some stable uniqueness theorems and a revisiting of Bott maps via stable homotopy. Furthermore, $KK$-theory related rotation maps are introduced. The book is based on lecture notes from the CBMS lecture sequence at the University of Wyoming in the summer of 2015.
€80.61
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स्वरूप PDF ● पेज 240 ● ISBN 9781470441920 ● प्रकाशक American Mathematical Society ● प्रकाशित 2017 ● डाउनलोड करने योग्य 3 बार ● मुद्रा EUR ● आईडी 8057219 ● कॉपी सुरक्षा Adobe DRM
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