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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…
Higher index theory
by Willett, Rufus, Yu, Guoliang
fromCambridge studies in advanced mathematics
0
Type: Book
