A Two Dimensional Adler-Manin Trace and Bi-singular Operators
Analysis of PDEs
2013-03-26 v2 Functional Analysis
Rings and Algebras
Abstract
Motivated by the theory of bi-singular pseudodifferential operators, we introduce a two dimensional version of the Adler-Manin trace. Our construction is rather general in the sense that it involves a twist afforded by an algebra automorphism. That is, starting from an algebra equipped with an automorphism, two twisted derivations, and a twisted invariant trace, we construct an algebra of formal twisted pseudodifferential symbols and define a noncommutative residue. Also, we provide related examples.
Cite
@article{arxiv.1112.2122,
title = {A Two Dimensional Adler-Manin Trace and Bi-singular Operators},
author = {Farzad Fathizadeh and Masoud Khalkhali and Fabio Nicola and Luigi Rodino},
journal= {arXiv preprint arXiv:1112.2122},
year = {2013}
}
Comments
16 pages