Olsen, Catherine L. 1942-

Index theory in von Neumann algebras / [electronic resource] Catherine L. Olsen. - Providence, R.I., USA : American Mathematical Society, c1984. - 1 online resource (iv, 71 p.) - Memoirs of the American Mathematical Society, v. 294 0065-9266 (print); 1947-6221 (online); .

"January 1984, volume 47, number 294."

Bibliography: p. 70-71.

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 $i$ 6. Properties of the index map $i$ 7. A representation of the index group and the index semigroup for relatively compact ideals 8. Examples 9. Definition of an index $\overline $ for noncompact ideals 10. Properties of the index $\overline $ 11. The maximal domain of continuity for the index 12. The closure of the semi-Fredholm components; the distance to each component

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

9781470407049 (online)


Von Neumann algebras.
Analytic functions.
Fredholm operators.
Index theory (Mathematics)

QA3 QA326 / .A57 no. 294

510 s 512/.55
The Institute of Mathematical Sciences, Chennai, India

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