Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups

A. Cardona, C. Ducourtioux, J. P. Magnot +1

Using {\it weighted traces} which are linear functionals of the type $$A\to t{r}^Q(A):=(tr(A{Q}^{-z})-z^{-1}tr(A{Q}^{-z}){)}_{z=0}$$ defined on the whole algebra of (classical) pseudo-d…