54 citations · 63 across the 4 of their papers we have counts for
6 papers
An upper limit to the lifetime of stellar remnants from gravitational pair production
Heino Falcke, Michael F. Wondrak, Walter D. van Suijlekom
Black holes are assumed to decay via Hawking radiation. Recently we found evidence that spacetime curvature alone without the need for an event horizon leads to black hole evaporat…
Schatten classes for Hilbert modules over commutative C*-algebras
Abel B. Stern, Walter D. van Suijlekom
We define Schatten classes of adjointable operators on Hilbert modules over abelian -algebras. Many key features carry over from the Hilbert space case. In particular, the Sch…
Spectral action in matrix form
Ali H. Chamseddine, John Iliopoulos, Walter D. van Suijlekom
Quantization of the noncommutative geometric spectral action has so far been performed on the final component form of the action where all traces over the Dirac matrices and symmet…
Spectral truncations in noncommutative geometry and operator systems
Alain Connes, Walter D. van Suijlekom
In this paper we extend the traditional framework of noncommutative geometry in order to deal with spectral truncations of geometric spaces (i.e. imposing an ultraviolet cutoff in…
The fundamental group of a noncommutative space
Walter D. van Suijlekom, Jeroen Winkel
We introduce and analyse a general notion of fundamental group for noncommutative spaces, described by differential graded algebras. For this we consider connections on finitely ge…
Factorization of Dirac operators on toric noncommutative manifolds
Jens Kaad, Walter D. van Suijlekom
We factorize the Dirac operator on the Connes-Landi 4-sphere in unbounded KK-theory. We show that a family of Dirac operators along the orbits of the torus action defines an unboun…