{"product_id":"9781470434908","title":"From the Basic Homotopy Lemma to the Classification of $C^*$-algebras","description":"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.","brand":"Huaxin Lin","offers":[{"title":"Default Title","offer_id":46776560222526,"sku":"9781470434908","price":0.0,"currency_code":"ZAR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4357\/7662\/products\/9781470434908_329dd5af-2001-4ce2-a28b-e6d680f90dac.jpg?v=1707476989","url":"https:\/\/exclusivebooks.co.za\/products\/9781470434908","provider":"Exclusive Books Online","version":"1.0","type":"link"}