| Softcover ISBN: | 978-1-4704-3490-8 |
| Product Code: | CBMS/124 |
| List Price: | $55.00 |
| MAA Member Price: | $49.50 |
| AMS Member Price: | $44.00 |
| eBook ISBN: | 978-1-4704-4192-0 |
| Product Code: | CBMS/124.E |
| List Price: | $55.00 |
| MAA Member Price: | $49.50 |
| AMS Member Price: | $44.00 |
| Softcover ISBN: | 978-1-4704-3490-8 |
| eBook: ISBN: | 978-1-4704-4192-0 |
| Product Code: | CBMS/124.B |
| List Price: | $110.00 $82.50 |
| MAA Member Price: | $99.00 $74.25 |
| AMS Member Price: | $88.00 $66.00 |
| Softcover ISBN: | 978-1-4704-3490-8 |
| Product Code: | CBMS/124 |
| List Price: | $55.00 |
| MAA Member Price: | $49.50 |
| AMS Member Price: | $44.00 |
| eBook ISBN: | 978-1-4704-4192-0 |
| Product Code: | CBMS/124.E |
| List Price: | $55.00 |
| MAA Member Price: | $49.50 |
| AMS Member Price: | $44.00 |
| Softcover ISBN: | 978-1-4704-3490-8 |
| eBook ISBN: | 978-1-4704-4192-0 |
| Product Code: | CBMS/124.B |
| List Price: | $110.00 $82.50 |
| MAA Member Price: | $99.00 $74.25 |
| AMS Member Price: | $88.00 $66.00 |
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Book DetailsCBMS Regional Conference Series in MathematicsVolume: 124; 2017; 240 ppMSC: Primary 46
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.
A co-publication of the AMS and CBMS.
ReadershipGraduate students and researchers interested in C*-algebras.
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Table of Contents
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Chapters
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An overview of the Elliott program
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An introduction to the Basic Homotopy Lemma
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Maps to finite dimensional $C^*$-algebras
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Stable homotopy lemmas
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The Basic Homotopy Lemma, finite dimensional cases
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$C^*$-algebras of generalized tracial rank one
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More Basic Homotopy Lemmas
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Asymptotic unitary equivalence
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Classification of simple $C^*$-algebras of finite rank
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
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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.
A co-publication of the AMS and CBMS.
Graduate students and researchers interested in C*-algebras.
-
Chapters
-
An overview of the Elliott program
-
An introduction to the Basic Homotopy Lemma
-
Maps to finite dimensional $C^*$-algebras
-
Stable homotopy lemmas
-
The Basic Homotopy Lemma, finite dimensional cases
-
$C^*$-algebras of generalized tracial rank one
-
More Basic Homotopy Lemmas
-
Asymptotic unitary equivalence
-
Classification of simple $C^*$-algebras of finite rank
