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 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 pseudodifferential operators with anisotropic symbols and magnetic fields.
| Original language | English |
|---|---|
| Pages (from-to) | 755-788 |
| Number of pages | 34 |
| Journal | Publications of the Research Institute for Mathematical Sciences |
| Volume | 46 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2010 Dec 13 |
| Externally published | Yes |
Keywords
- Affliation
- C*-Algebra
- Essential spectrum
- Magnetic field
- Pseudodifferential operator
- Symbol class
- Twisted crossed-product
- Ψ*-Algebra
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Lein, M., Mǎntoiu, M., & Richard, S. (2010). Magnetic pseudodifferential operators with coeffcients in C*-algebras. Publications of the Research Institute for Mathematical Sciences, 46(4), 755-788. https://doi.org/10.2977/PRIMS/25