10 citations · 27 across the 6 of their papers we have counts for
6 papers
A KK-theoretic note on the spectral localiser
Koen van den Dungen
We review the construction of the spectral localiser (due to Loring and Schulz-Baldes) from a KK-theoretic perspective. We first give a KK-theoretic argument providing a spectral f…
Localisations of half-closed modules and the unbounded Kasparov product
Koen van den Dungen
In the context of the Kasparov product in unbounded KK-theory, a well-known theorem by Kucerovsky provides sufficient conditions for an unbounded Kasparov module to represent the (…
Homotopy equivalence in unbounded KK-theory
Koen van den Dungen, Bram Mesland
We propose a new notion of unbounded -cycle, mildly generalising unbounded Kasparov modules, for which the direct sum is well-defined. To a pair of -unital …
Addendum to: Indefinite Kasparov modules and pseudo-Riemannian manifolds
Koen van den Dungen
We improve our previous results on indefinite Kasparov modules, which provide a generalisation of unbounded Kasparov modules modelling non-symmetric and non-elliptic (e.g. hyperbol…
The index of generalised Dirac-Schrödinger operators
Koen van den Dungen
We study the relation between spectral flow and index theory within the framework of (unbounded) KK-theory. In particular, we consider a generalised notion of 'Dirac-Schrödinger op…
Locally bounded perturbations and (odd) unbounded KK-theory
Koen van den Dungen
A regular symmetric operator on a Hilbert module is self-adjoint whenever there exists a suitable approximate identity. We say an operator is 'locally bounded' if the composition o…