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Index theory in von Neumann algebras


About this Title

Catherine L. Olsen

Publication: Memoirs of the American Mathematical Society
Publication Year 1984: Volume 47, Number 294
ISBNs: 978-0-8218-2295-1 (print); 978-1-4704-0704-9 (online)
DOI: http://dx.doi.org/10.1090/memo/0294
MathSciNet review: 727597
MSC (1991): Primary 46Lxx; Secondary 47A53, 47C15, 47D25, 58G12

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Table of Contents


Chapters

  • 1. Introduction
  • 2. Basic facts and notation
  • 3. Definition of the semi-Fredholm elements, and of the index group and the index semigroup
  • 4. Alternative characterizations of the Fredholm and semi-Fredholm elements
  • 5. Definition of the index map
  • 6. Properties of the index map
  • 7. A representation of the index group and the index semigroup for relatively compact ideals
  • 8. Examples
  • 9. Definition of an index for noncompact ideals
  • 10. Properties of the index
  • 11. The maximal domain of continuity for the index
  • 12. The closure of the semi-Fredholm components; the distance to each component