bokomslag From the Basic Homotopy Lemma to the Classification of $C^*$-algebras
Vetenskap & teknik

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

Huaxin Lin

Pocket

939:-

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  • 240 sidor
  • 2017
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.
  • Författare: Huaxin Lin
  • Format: Pocket/Paperback
  • ISBN: 9781470434908
  • Språk: Engelska
  • Antal sidor: 240
  • Utgivningsdatum: 2017-10-30
  • Förlag: American Mathematical Society