TY - BOOK AU - Olsen,Catherine L. TI - Index Theory in Von Neumann Algebras T2 - Memoirs of the American Mathematical Society SN - 9781470407049 AV - QA326 -- .O47 1984eb U1 - 510 s;512/.55 PY - 1984/// CY - Providence PB - American Mathematical Society KW - Von Neumann algebras KW - Analytic functions KW - Fredholm operators KW - Index theory (Mathematics) KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113572 ER -