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(Ebook) From the Basic Homotopy Lemma to the Classification of C*-algebras by Huaxin Lin ISBN 9781470434908, 1470434903

  • SKU: EBN-57014824
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4.6

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Instant download (eBook) From the Basic Homotopy Lemma to the Classification of C*-algebras after payment.
Authors:Huaxin Lin
Pages:240 pages.
Year:2017
Publisher:American Mathematical Society
Language:english
File Size:4.66 MB
Format:pdf
ISBNS:9781470434908, 1470434903
Categories: Ebooks

Product desciption

(Ebook) From the Basic Homotopy Lemma to the Classification of C*-algebras by Huaxin Lin ISBN 9781470434908, 1470434903

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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