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Classification of Direct Limits of Even Cuntz-Circle Algebras

Huaxin Lin University of Oregon
N. Christopher Phillips University of Oregon
Available Formats:
Electronic ISBN: 978-1-4704-0144-3
Product Code: MEMO/118/565.E
List Price: $44.00 MAA Member Price:$39.60
AMS Member Price: $26.40 Click above image for expanded view Classification of Direct Limits of Even Cuntz-Circle Algebras Huaxin Lin University of Oregon N. Christopher Phillips University of Oregon Available Formats:  Electronic ISBN: 978-1-4704-0144-3 Product Code: MEMO/118/565.E  List Price:$44.00 MAA Member Price: $39.60 AMS Member Price:$26.40
• Book Details

Memoirs of the American Mathematical Society
Volume: 1181996; 116 pp
MSC: Primary 46; Secondary 19;

In this book, the authors prove a classification theorem for purely infinite simple $C^\ast$-algebras that is strong enough to show that the tensor products of two different irrational rotation algebras with the same even Cuntz algebra are isomorphic.

Graduate students, research mathematicians, and physicists interested in operator algebras.

• Chapters
• Introduction
• 1. Approximately absorbing homomorphisms
• 2. Homotopies of asymptotic morphisms
• 3. Approximate unitary equivalence of homomorphisms
• 4. The existence theorem
• 5. The main results
• Requests

Review Copy – for reviewers who would like to review an AMS book
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Volume: 1181996; 116 pp
MSC: Primary 46; Secondary 19;

In this book, the authors prove a classification theorem for purely infinite simple $C^\ast$-algebras that is strong enough to show that the tensor products of two different irrational rotation algebras with the same even Cuntz algebra are isomorphic.

Graduate students, research mathematicians, and physicists interested in operator algebras.

• Chapters
• Introduction
• 1. Approximately absorbing homomorphisms
• 2. Homotopies of asymptotic morphisms
• 3. Approximate unitary equivalence of homomorphisms
• 4. The existence theorem
• 5. The main results
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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