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

From the Basic Homotopy Lemma to the Classification of C*-algebras
Author :
Publisher : American Mathematical Soc.
Total Pages : 249
Release :
ISBN-10 : 9781470434908
ISBN-13 : 1470434903
Rating : 4/5 (08 Downloads)

Book Synopsis From the Basic Homotopy Lemma to the Classification of C*-algebras by : Huaxin Lin

Download or read book From the Basic Homotopy Lemma to the Classification of C*-algebras written by Huaxin Lin and published by American Mathematical Soc.. This book was released on 2017-08-11 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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