Magnetic pseudodifferential operators with coefficients in C*-algebras

Details Magnetic pseudodifferential operators with coefficients in C*-algebras Magnetic pseudodifferential operators with coefficients in C*-algebras

2009-01-23

arxiv.org/abs/0901.3704v1

Publ. RIMS Kyoto Univ., 46:755-788, 2010

Physics

Mathematical Physics

23 pages

Scientific paper

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 H\"ormander 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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