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arXiv · 0901.3704

Magnetic pseudodifferential operators with coefficients in C*-algebras

Max Lein·M. Mantoiu·S. Richard
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Abstract

In previous articles, a magnetic pseudodifferential calculus and a family of C*-algebras associated with twisted dynamical systems were introduced and the connections between them have been established. We extend this formalism to symbol classes of Hörmander type with an x-behavior modelized by an abelian C*-algebra. Some of these classes generate C*-algebras associated with the twisted dynamical system. We show the relevance of these classes to the spectral analysis of pseudodifferential operators with anisotropic symbols and magnetic fields.

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Max Lein, M. Mantoiu, S. Richard. 2009-01-23. Magnetic pseudodifferential operators with coefficients in C*-algebras. https://arxiv.org/abs/0901.3704

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