On the noncommutative spectral flow
نویسنده
چکیده
We define and study the noncommutative spectral flow for paths of regular selfadjoint Fredholm operators on a Hilbert C∗-module. We give an axiomatic description and discuss some applications. One of them is the definition 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 ZZ/2-graded module. MSC 2000: 58J30 (19K56; 46L80)
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تاریخ انتشار 2006