Magnetic pseudodifferential operators with coeffcients in C*-algebras

Max Lein; Marius Mǎntoiu; Serge Richard

doi:10.2977/PRIMS/25

Magnetic pseudodifferential operators with coeffcients in C*-algebras

Max Lein, Marius Mǎntoiu, Serge Richard

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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	https://doi.org/10.2977/PRIMS/25
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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10.2977/PRIMS/25

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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 H{\"o}rmander 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.",

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T1 - Magnetic pseudodifferential operators with coeffcients in C*-algebras

AU - Lein, Max

AU - Mǎntoiu, Marius

AU - Richard, Serge

PY - 2010/12/13

Y1 - 2010/12/13

N2 - 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.

AB - 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.

KW - Affliation

KW - C-Algebra

KW - Essential spectrum

KW - Magnetic field

KW - Pseudodifferential operator

KW - Symbol class

KW - Twisted crossed-product

KW - Ψ-Algebra

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DO - 10.2977/PRIMS/25

M3 - Article

AN - SCOPUS:78649819747

VL - 46

SP - 755

EP - 788

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

SN - 0034-5318

IS - 4

ER -

Magnetic pseudodifferential operators with coeffcients in C*-algebras

Abstract

Keywords

ASJC Scopus subject areas

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