# Journal of Operator Theory

Volume 80, Issue 2,  Fall  2018  pp. 481-522.

A $C^*$-algebraic approach to the principal symbol

Authors:  F. Sukochev (1) and D. Zanin (2)
Author institution: (1) School of Mathematics and Statistics, University of New South Wales, Kensington, 2052, Australia
(2) School of Mathematics and Statistics, University of New South Wales, Kensington, 2052, Australia

Summary:  We construct a generalised principal symbol mapping as a morphism of $C^*$-algebras. Variants of Connes' Trace Theorem are proved in terms of the principal symbol.

DOI: http://dx.doi.org/10.7900/jot.2017nov02.2176
Keywords:  principal symbol, $C^*$-algebras, singular traces, Connes' Trace Theorem