Index theory in von Neumann algebras /

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Olsen, Catherine L. (Catherine Louise), 1942-
Format: Electronic eBook
Language:Inglés
Published: Providence, R.I., USA : American Mathematical Society, ©1984.
Series:Memoirs of the American Mathematical Society ; no. 294.
Subjects:
Von Neumann algebras.
Analytic functions.
Fredholm operators.
Index theory (Mathematics)
Algèbres de Von Neumann.
Fonctions analytiques.
Opérateurs de Fredholm.
Théorie de l'index (Mathématiques)
Analytic functions
Fredholm operators
Von Neumann algebras
Online Access:Texto completo
Table of 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.

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