Index theory in von Neumann algebras / [electronic resource] Catherine L. Olsen.

By: Olsen, Catherine L. (Catherine Louise), 1942-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 294Publication details: Providence, R.I., USA : American Mathematical Society, c1984Description: 1 online resource (iv, 71 p.)ISBN: 9781470407049 (online)Subject(s): Von Neumann algebras | Analytic functions | Fredholm operators | Index theory (Mathematics)Additional physical formats: Index theory in von Neumann algebras /DDC classification: 510 s | 512/.55 LOC classification: QA3 | .A57 no. 294 | QA326Online resources: Contents | Contents
Contents:
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 $\overline {i}$ for noncompact ideals 10. Properties of the index $\overline {i}$ 11. The maximal domain of continuity for the index 12. The closure of the semi-Fredholm components; the distance to each component
Item type: E-BOOKS
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Link to resource Available EBK12747

"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 $\overline {i}$ for noncompact ideals 10. Properties of the index $\overline {i}$ 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

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