Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On the Noncommutative Spectral Flow


Affiliations
1 Nieders¨achsische Landesbibliothek, Gottfried Wilhelm Leibniz Bibliothek, Waterloostr. 8, 30169 Hannover, Germany
     

   Subscribe/Renew Journal


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 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 Z/2-graded module.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 169

PDF Views: 0




  • On the Noncommutative Spectral Flow

Abstract Views: 169  |  PDF Views: 0

Authors

Charlotte Wahl
Nieders¨achsische Landesbibliothek, Gottfried Wilhelm Leibniz Bibliothek, Waterloostr. 8, 30169 Hannover, Germany

Abstract


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 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 Z/2-graded module.