30 citations · 50 across the 4 of their papers we have counts for
4 papers
The intersection of complemented submodules is not complemented
Koen van den Dungen, Bram Mesland, Adam Rennie
We show by (counter)example that the intersection of complemented submodules in a Hilbert -module is not necessarily complemented, answering an open question from [MR].
Families of spectral triples and foliations of space(time)
Koen van den Dungen
We study a noncommutative analogue of a spacetime foliated by spacelike hypersurfaces, in both Riemannian and Lorentzian signatures. First, in the classical commutative case, we sh…
Krein spectral triples and the fermionic action
Koen van den Dungen
Motivated by the space of spinors on a Lorentzian manifold, we define Krein spectral triples, which generalise spectral triples from Hilbert spaces to Krein spaces. This Krein spac…
Indefinite Kasparov modules and pseudo-Riemannian manifolds
Koen van den Dungen, Adam Rennie
We present a definition of indefinite Kasparov modules, a generalisation of unbounded Kasparov modules modelling non-symmetric and non-elliptic (e.g. hyperbolic) operators. Our mai…