TY - BOOK AU - Olsen,Catherine L. TI - Index theory in von Neumann algebras T2 - Memoirs of the American Mathematical Society, SN - 9781470407049 (online) AV - QA3QA326 .A57 no. 294 U1 - 510 s512/.55 19 PY - 1984/// CY - Providence, R.I., USA PB - American Mathematical Society KW - Von Neumann algebras KW - Analytic functions KW - Fredholm operators KW - Index theory (Mathematics) N1 - "January 1984, volume 47, number 294."; Bibliography: p. 70-71; 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0294 UR - http://dx.doi.org/10.1090/memo/0294 ER -