1 citations · 1 across the 4 of their papers we have counts for
5 papers
Higher K-groups for operator systems
Walter D. van Suijlekom
We extend our previous definition of K-theoretic invariants for operator systems based on hermitian forms to higher K-theoretical invariants. We realize the need for a positive par…
A generalization of K-theory to operator systems
Walter D. van Suijlekom
We propose a generalization of K-theory to operator systems. Motivated by spectral truncations of noncommutative spaces described by -algebras and inspired by the realization…
Cyclic cocycles and one-loop corrections in the spectral action
Teun D. H. van Nuland, Walter D. van Suijlekom
We present an intelligible review of recent results concerning cyclic cocycles in the spectral action and one-loop quantization. We show that the spectral action, when perturbed by…
Tolerance relations and operator systems
Alain Connes, Walter D. van Suijlekom
We extend the scope of noncommutative geometry by generalizing the construction of the noncommutative algebra of a quotient space to situations in which one is no longer dealing wi…
Multiplicative renormalization and Hopf algebras
Walter D. van Suijlekom
We derive the existence of Hopf subalgebras generated by Green's functions in the Hopf algebra of Feynman graphs of a quantum field theory. This means that the coproduct closes on…