51 citations · 138 across the 6 of their papers we have counts for
3 papers · 1 filter
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…
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…
Pseudo-Riemannian spectral triples and the harmonic oscillator
Koen van den Dungen, Mario Paschke, Adam Rennie
We define pseudo-Riemannian spectral triples, an analytic context broad enough to encompass a spectral description of a wide class of pseudo-Riemannian manifolds, as well as their…