Robin Hillier

Spectral triples and the super-Virasoro algebra

We construct infinite dimensional spectral triples associated with representations of the super-Virasoro algebra. In particular the irreducible, unitary positive energy representation of the Ramond algebra with central charge c and minimal lowest weight h = c/24 is graded and gives rise to a net of even θ-summable spectral triples with non-zero Fredholm index. The irreducible unitary positive energy representations of the Neveu-Schwarz algebra give rise to nets of even θ-summable generalised spectral triples where there is no Dirac operator but only a superderivation.

Representations of Conformal Nets, Universal C*-Algebras and K-Theory

We study the representation theory of a conformal net

Superconformal nets and noncommutative geometry

{\mathcal{A}}

A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence

on S1 from a K-theoretical point of view using its universal C*-algebra

Dynamical decoupling of unbounded Hamiltonians

{C^*(\mathcal{A})}

Dynamical decoupling and homogenization of continuous variable systems

. We prove that if