From the Basic Homotopy Lemma to the Classification of $C^*$-algebras (Paperback)

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 $C^*$-algebra, 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.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	CBMS Regional Conference Series in Mathematics
Release date:	September 2017
Authors:	Huaxin Lin
Dimensions:	254 x 178mm (L x W)
Format:	Paperback
Pages:	240
ISBN-13:	978-1-4704-3490-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > General
LSN:	1-4704-3490-3
Barcode:	9781470434908

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