On the noncommutative spectral flow
算子代数
2007-07-21 v4 泛函分析
K理论与同调
摘要
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.
引用
@article{arxiv.math/0602110,
title = {On the noncommutative spectral flow},
author = {Charlotte Wahl},
journal= {arXiv preprint arXiv:math/0602110},
year = {2007}
}
备注
48 pages, 1 figure; statement of Prop. 3.7 generalized, discussion of references updated, minor changes