In previous articles, a magnetic pseudodierential 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 modeled 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 pseudodierential operators with anisotropic symbols and magnetic elds.
Cite this article
Max Lein, Marius Măntoiu, Serge Richard, Magnetic Pseudodifferential Operators with Coefficients in <i>C</i>*-Algebras. Publ. Res. Inst. Math. Sci. 46 (2010), no. 4 pp. 755–788