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The Algebra of Formal Twisted Pseudodifferential Symbols and a Noncommutative Residue

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Abstract

Motivated by Connes–Moscovici’s notion of a twisted spectral triple, we define an algebra of formal twisted pseudodifferential symbols with respect to a twisting of the base algebra. We extend the Adler–Manin trace and the logarithmic cocycle on the algebra of pseudodifferential symbols to our twisted setting. We also give a general method to construct twisted pseudodifferential symbols on crossed product algebras.

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  1. Department of Mathematics, University of Western Ontario, London, ON, Canada

    Farzad Fathi Zadeh & Masoud Khalkhali

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  1. Farzad Fathi Zadeh
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  2. Masoud Khalkhali
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Correspondence to Masoud Khalkhali.

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Zadeh, F.F., Khalkhali, M. The Algebra of Formal Twisted Pseudodifferential Symbols and a Noncommutative Residue. Lett Math Phys 94, 41–61 (2010). https://doi.org/10.1007/s11005-010-0419-z

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  • DOI: https://doi.org/10.1007/s11005-010-0419-z

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