1.

Record Nr.

UNINA9910788886403321

Autore

Olsen Catherine L (Catherine Louise), <1942->

Titolo

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

Pubbl/distr/stampa

Providence, R.I., USA : , : American Mathematical Society, , [1984]

©1984

ISBN

1-4704-0704-3

Descrizione fisica

1 online resource (77 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 294

Disciplina

510 s

512/.55

Soggetti

Von Neumann algebras

Analytic functions

Fredholm operators

Index theory (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"January 1984, volume 47, number 294."

Nota di bibliografia

Bibliography: pages 70-71.

Nota di contenuto

""Table of Contents""; ""Abstract""; ""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 i for noncompact ideals""; ""10. Properties of the index i""

""11. The maximal domain of continuity for the index""""12. The closure of the semi-Fredholm components;  the distance to each component""; ""References""