122 citations · 250 across the 12 of their papers we have counts for
13 papers
Gromov-Hausdorff convergence of state spaces for spectral truncations
Walter D. van Suijlekom
We study the convergence aspects of the metric on spectral truncations of geometry. We find general conditions on sequences of operator system spectral triples that allows one to p…
Immersions and the unbounded Kasparov product: embedding spheres into Euclidean space
Walter D. van Suijlekom, Luuk S. Verhoeven
We construct an unbounded representative for the shriek class associated to the embeddings of spheres into Euclidean space. We equip this unbounded Kasparov cycle with a connection…
Factorization of Dirac operators on almost-regular fibrations of spin manifolds
Jens Kaad, Walter D. van Suijlekom
We establish the factorization of the Dirac operator on an almost-regular fibration of spin manifolds in unbounded KK-theory. As a first intermediate result we establish that a…
On a theorem of Kucerovsky for half-closed chains
Jens Kaad, Walter D. van Suijlekom
Kucerovsky's theorem provides a method for recognizing the interior Kasparov product of selfadjoint unbounded cycles. In this paper we extend Kucerovsky's theorem to the non-selfad…
Renormalizability conditions for almost commutative manifolds
Walter D. van Suijlekom
We formulate conditions under which the asymptotically expanded spectral action on an almost commutative manifold is renormalizable as a higher-derivative gauge theory. These condi…
Renormalization of the spectral action for the Yang-Mills system
Walter D. van Suijlekom
We establish renormalizability of the full spectral action for the Yang-Mills system on a flat 4-dimensional background manifold. Interpreting the spectral action as a higher-deriv…