2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134708We 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 changesOperator AlgebrasFunctional AnalysisK-Theory and Homology58J30: 19K56; 46L80text