Classification of $/mathcal {O}_/infty $-Stable $C^*$-Algebras

James Gabe, University of Southern Denmark, Odense, Denmark.

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