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Equivariant $E$-theory for $C^*$-algebras

About this Title

Erik Guentner, Nigel Higson and Jody Trout

Publication: Memoirs of the American Mathematical Society
Publication Year 2000: Volume 148, Number 703
ISBNs: 978-0-8218-2116-9 (print); 978-1-4704-0294-5 (online)
MathSciNet review: 1711324
MSC: Primary 46L80; Secondary 19K35, 22D25, 46L85

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Table of Contents


  • Introduction
  • 1. Asymptotic morphisms
  • 2. The homotopy category of asymptotic morphisms
  • 3. Functors on the homotopy category
  • 4. Tensor products and descent
  • 5. $C$*-algebra extensions
  • 6. E-theory
  • 7. Cohomological properties
  • 8. Proper algebras
  • 9. Stabilization
  • 10. Assembly
  • 11. The Green–Julg theorem
  • 12. Induction and compression
  • 13. A generalized Green–Julg theorem
  • 14. Application to the Baum–Connes conjecture
  • 15. Concluding remark on assembly for proper algebras
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