On the noncommutative spectral flow
Abstract
Description
We define and study the noncommutative spectral flow for paths of regular selfadjoint Fredholm operators on a countably generated Hilbert C*-module. We give an axiomatic description and discuss some applications. One of them is the definition of a noncommutative Maslov index for paths of Lagrangians which appears in a splitting formula for the spectral flow. Analogously we study the spectral flow for odd operators on a graded module.
48 pages, 1 figure; statement of Prop. 3.7 generalized, discussion of references updated, minor changes
48 pages, 1 figure; statement of Prop. 3.7 generalized, discussion of references updated, minor changes