2 papers
math.OA2026
Analytic index theory and spectral flow in real Hilbert -modules
Chris Bourne, Alan L. Carey, Koen van den Dungen +1
We consider the analytic index and spectral flow of Fredholm operators on Hilbert -modules. Our spaces and algebras are equipped with a real structure, so the analytic index a…
math.OA2025
Fredholm complexes of Hilbert C*-modules
Brian Villegas-Villalpando, Koen van den Dungen
We investigate complexes of Hilbert C*-modules, which are cochain complexes with (unbounded) regular operators between Hilbert C*-modules as differential maps. In particular, we pr…