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

Huaxin Lin (Autor)

eBook Download: PDF

2017
240 Seiten
American Mathematical Society (Verlag)
978-1-4704-4192-0 (ISBN)

Infos

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 $C^*$-algebras, 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.

Produkt-Details

• Erscheint lt. Verlag: 8.11.2017
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 1-4704-4192-6 / 1470441926
• ISBN-13: 978-1-4704-4192-0 / 9781470441920