Virial coefficients of non-abelian anyons

We study a system of non-Abelian anyons in the lowest Landau level of a strong magnetic field. Using diagrammatic techniques, we prove that the virial coefficients do not depend on the statistics parameter. This is true for all representations of all non-Abelian groups for the statistics of the particles and relies solely on the fact that the effective statistical interaction is a traceless operator.