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.

A two dimensional Adler-Manin trace and bi-singular operators / Farzad, Fathizadeh; Masoud, Khalkhali; Nicola, Fabio; Luigi, Rodino. - In: COMMUNICATIONS IN MATHEMATICAL ANALYSIS. - ISSN 1938-9787. - ELETTRONICO. - 15:1(2013), pp. 61-78.

A two dimensional Adler-Manin trace and bi-singular operators

NICOLA, FABIO;
2013

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2506380
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