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

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

  • Author : Huaxin Lin
  • Release Date : 2017-08-11
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 249
  • ISBN 13 : 1470434903
  • File Size : 38,38 MB

From the Basic Homotopy Lemma to the Classification of C*-algebras by Huaxin Lin PDF Summary

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.

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