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From the Basic Homotopy Lemma to the Classification of C*-algebras

From the Basic Homotopy Lemma to the Classification of C*-algebras PDF Author: Huaxin Lin
Publisher: American Mathematical Soc.
ISBN: 1470434903
Category : Mathematics
Languages : en
Pages : 249

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Book Description
This book examines some recent developments in the theory of -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 -algebras, otherwise known as the Elliott program. This includes some stable uniqueness theorems and a revisiting of Bott maps via stable homotopy. Furthermore, -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.