The Algebra of Formal Twisted Pseudodifferential Symbols and a Noncommutative Residue

Abstract

We extend the Adler-Manin trace on the algebra of pseudodifferential symbols to a twisted setting.

29 pages, one reference added, Section 6 is improved and generalized

References in corpus (3)

• Type III and spectral triples
• Extensions and contractions of the Lie algebra of q-pseudodifferential symbols
• Localisations and Completions of Skew Power Series Rings

Cited by in corpus (3)

• On the Chern-Gauss-Bonnet Theorem and Conformally Twisted Spectral Triples for $C^{\ast }$-Dynamical Systems
• A Short Survey of Cyclic Cohomology
• Twisted Cyclic Cohomology and Modular Fredholm Modules