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From The Basic Homotopy Lemma To The Classification Of Calgebras Huaxin Lin

  • SKU: BELL-57014824
From The Basic Homotopy Lemma To The Classification Of Calgebras Huaxin Lin
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From The Basic Homotopy Lemma To The Classification Of Calgebras Huaxin Lin instant download after payment.

Publisher: American Mathematical Society
File Extension: PDF
File size: 4.66 MB
Pages: 240
Author: Huaxin Lin
ISBN: 9781470434908, 1470434903
Language: English
Year: 2017
Volume: 124

Product desciption

From The Basic Homotopy Lemma To The Classification Of Calgebras Huaxin Lin by Huaxin Lin 9781470434908, 1470434903 instant download after payment.

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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