Can I read Weakly Parametric Pseudodifferential Calculus for Twisted $C^*$-dynamical Systems on EtoBox?

Weakly Parametric Pseudodifferential Calculus for Twisted $C^*$-dynamical Systems by Lee, Gihyun; Lesch, Matthias is a scholarly article available to read on EtoBox.

What is Weakly Parametric Pseudodifferential Calculus for Twisted $C^*$-dynamical Systems about?

For a twisted $C^*$-dynamical system $(\mathscr{A},\mathbb{R}^n,\alpha,e)$ over a unital $C^*$-algebra we establish a weakly parametric pseudodifferential calculus analogously to the celebrated weakly parametric calculus due to Grubb and Seeley. If the $C^*$-algebra $\mathscr{A}$ has an $\alpha$-invariant trace then we prove an expansion of the resolvent trace (with respect to the dual trace on multipliers) for suitable pseudodifferential multipliers. The question whether the expansion holds true as a Hilbert space trace expansion in concrete GNS spaces for $\mathscr{A}$ will be addressed in a future publication.

Author

Lee, Gihyun; Lesch, Matthias

Published

2023

Language

EN