From the Basic Homotopy Lemma to the Classification of $C^*$-algebras Paperback / softback
by Huaxin Lin
Part of the CBMS Regional Conference Series in Mathematics series
Paperback / softback
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.
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:240 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2017
- Category:
- ISBN:9781470434908
Other Formats
- PDF from £46.80
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:240 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2017
- Category:
- ISBN:9781470434908
