Index Theory in Von Neumann Algebras.
Olsen, Catherine L.
Index Theory in Von Neumann Algebras. - 1st ed. - 1 online resource (77 pages) - Memoirs of the American Mathematical Society ; v.47 . - Memoirs of the American Mathematical Society .
Intro -- 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.
9781470407049
Von Neumann algebras.
Analytic functions.
Fredholm operators.
Index theory (Mathematics).
Electronic books.
QA326 -- .O47 1984eb
510 s;512/.55
Index Theory in Von Neumann Algebras. - 1st ed. - 1 online resource (77 pages) - Memoirs of the American Mathematical Society ; v.47 . - Memoirs of the American Mathematical Society .
Intro -- 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.
9781470407049
Von Neumann algebras.
Analytic functions.
Fredholm operators.
Index theory (Mathematics).
Electronic books.
QA326 -- .O47 1984eb
510 s;512/.55