Abstract
Motivated by the theory of bisingular 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.
Citation
Farzad Fathizadeh. Masoud Khalkhali . Fabio Nicola . Luigi Rodino . "A Two Dimensional Adler-Manin Trace and Bi-Singular Operators." Commun. Math. Anal. 15 (1) 61 - 78, 2013.
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