pith. sign in

arxiv: math/0602110 · v4 · pith:PI27QNZOnew · submitted 2006-02-07 · 🧮 math.OA · math.FA· math.KT

On the noncommutative spectral flow

Charlotte Wahl This is my paper
classification 🧮 math.OA math.FAmath.KT
keywords flowspectralnoncommutativemoduleoperatorspathsanalogouslyappears
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Analytic index theory and spectral flow in real Hilbert $C^*$-modules

    math.OA 2026-06 unverdicted novelty 7.0

    Defines analytic index for Clifford anti-linear, skew-adjoint, self-adjoint and odd Fredholm operators on real Hilbert C*-modules and proves a real Robbin-Salamon theorem linking spectral flow to Fredholm index via Va...