Index theory in von Neumann algebras / Catherine L. Olsen.

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Bibliographic Details
Main Author:	Olsen, Catherine L. (Catherine Louise), 1942-
Format:	eBook
Language:	English
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) Analytic functions Fredholm operators Von Neumann algebras
Online Access:	Click for online access

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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