{"product_id":"from-the-basic-homotopy-lemma-to-the-classification-of-c-algebras","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":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":54031019442520,"sku":null,"price":58.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781470434908_e32343df-80e8-4b7b-8e8e-a98075f72be9.jpg?v=1779176750","url":"https:\/\/agendabookshop.com\/products\/from-the-basic-homotopy-lemma-to-the-classification-of-c-algebras","provider":"Agenda Bookshop","version":"1.0","type":"link"}