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The classification and structure of $C^{∗} $-algebra bundles

About this Title

Maurice J. Dupré

Publication: Memoirs of the American Mathematical Society
Publication Year: 1979; Volume 21, Number 222
ISBNs: 978-0-8218-2222-7 (print); 978-1-4704-0603-5 (online)
DOI: https://doi.org/10.1090/memo/0222
MathSciNet review: 539224
MSC: Primary 46M20; Secondary 46L05, 55R10

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Table of Contents

Chapters

  • 1. The main theorem
  • 2. The neighborhood extension property
  • 3. The extension of an embedding
  • 4. Tensor products of $C^*$-bundles
  • 5. Bundle commutants
  • 6. Banach bundle pasting
  • 7. Homotopy and $C^*$-bundles
  • 8. Proof of the theorem
  • 9. Applications
  • 10. Stable isomorphisms