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

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