Index theory of elliptic operators, foliations, and operator algebras: Proceedings of AMS Special Sessions held January …
by Millett, Kenneth C., Schochet, Claude, Kaminker, Jerome, American Mathematical Society, Special Session on Operator Algebras and Foliations, New Orleans), Special Session on Index Theory of Elliptic Operators and its Applications, Indianapolis, Ind.)
We develop a link between the 'coarse' geometry of complete Riemannian manifolds and index theory for elliptic operators on such manifolds. We define and make use of a new cohomology theory that is sensitive only to this coarse geometry. The connection with index theory is made …
The object of this paper is to define a natural analytic index function on an arbitrary von Neumann algebra relative to an arbitrary ideal. This index map enables us to develop a complete Fredholm and semi-Fredholm theory in this setting which is parallel to classical Fredholm a…
