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Classification of $\mathcal{O}_\infty$-Stable $C^*$-Algebras
 
James Gabe University of Southern Denmark, Odense, Denmark
Softcover ISBN:  978-1-4704-6793-7
Product Code:  MEMO/293/1461
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7718-9
Product Code:  MEMO/293/1461.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6793-7
eBook: ISBN:  978-1-4704-7718-9
Product Code:  MEMO/293/1461.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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Classification of $\mathcal{O}_\infty$-Stable $C^*$-Algebras
James Gabe University of Southern Denmark, Odense, Denmark
Softcover ISBN:  978-1-4704-6793-7
Product Code:  MEMO/293/1461
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7718-9
Product Code:  MEMO/293/1461.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6793-7
eBook ISBN:  978-1-4704-7718-9
Product Code:  MEMO/293/1461.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2932024; 115 pp
    MSC: Primary 46

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction and main results
    • 2. Equivalence of $\ast $-homomorphisms
    • 3. Approximate domination and nuclearity
    • 4. $\mathcal O_2$-stable and $\mathcal O_\infty $-stable $\ast $-homomorphisms
    • 5. Absorbing representations
    • 6. Asymptotic intertwining
    • 7. A unitary path and some key lemmas
    • 8. The Kirchberg–Phillips Theorem
    • 9. Strongly $\mathcal O_\infty $-stable $\ast $-homomorphisms
    • 10. Ideals and actions of topological spaces
    • 11. Absorbing representations revisited
    • 12. Ideal-related $KK$-theory
    • 13. A stable uniqueness theorem
    • 14. An ideal-related $\mathcal O_2$-embedding theorem
    • 15. The main theorems
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2932024; 115 pp
MSC: Primary 46

View the abstract.

  • Chapters
  • 1. Introduction and main results
  • 2. Equivalence of $\ast $-homomorphisms
  • 3. Approximate domination and nuclearity
  • 4. $\mathcal O_2$-stable and $\mathcal O_\infty $-stable $\ast $-homomorphisms
  • 5. Absorbing representations
  • 6. Asymptotic intertwining
  • 7. A unitary path and some key lemmas
  • 8. The Kirchberg–Phillips Theorem
  • 9. Strongly $\mathcal O_\infty $-stable $\ast $-homomorphisms
  • 10. Ideals and actions of topological spaces
  • 11. Absorbing representations revisited
  • 12. Ideal-related $KK$-theory
  • 13. A stable uniqueness theorem
  • 14. An ideal-related $\mathcal O_2$-embedding theorem
  • 15. The main theorems
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.