MAGNETIC TWISTED ACTIONS ON GENERAL ABELIAN C*-ALGEBRAS

被引:8
作者
Belmonte, Fabian [1 ]
Lein, Max [2 ]
Mantoiu, Marius [3 ]
机构
[1] SISSA ISAS, I-34136 Trieste, Italy
[2] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany
[3] Univ Chile, Dept Matemat, Santiago, Chile
关键词
Pseudodifferential calculus; Poisson algebra; crossed product; magnetic field; dynamical system; CROSSED-PRODUCTS;
D O I
10.7900/jot.2010jun30.1896
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce magnetic twisted actions of X = R-n on general abelian C*-algebras and study the associated twisted crossed product and pseudodifferential algebras in the framework of strict deformation quantization.
引用
收藏
页码:33 / 58
页数:26
相关论文
共 24 条
[1]  
[Anonymous], STUDIES HIST PHILOS
[2]  
BELTITA I., 2009, AIP C P
[3]   Uncertainty principles for magnetic structures on certain coadjoint orbits [J].
Beltita, Ingrid ;
Beltita, Daniel .
JOURNAL OF GEOMETRY AND PHYSICS, 2010, 60 (01) :81-95
[4]   Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups [J].
Beltita, Ingrid ;
Beltita, Daniel .
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2009, 36 (03) :293-322
[5]   Magnetic pseudodifferential operators [J].
Iftimie, Viorel ;
Mantoiu, Marius ;
Purice, Radu .
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2007, 43 (03) :585-623
[6]   Commutator Criteria for Magnetic Pseudodifferential Operators [J].
Iftimie, Viorel ;
Mantoiu, Marius ;
Purice, Radu .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2010, 35 (06) :1058-1094
[7]   Quantum magnetic algebra and magnetic curvature [J].
Karasev, MV ;
Osborn, TA .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (06) :2345-2363
[8]   Symplectic areas, quantization, and dynamics in electromagnetic fields [J].
Karasev, MV ;
Osborn, TA .
JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (02) :756-788
[9]  
Landsman N. P., 1998, Springer Monographs in Mathematics
[10]   Magnetic Pseudodifferential Operators with Coefficients in C*-Algebras [J].
Lein, Max ;
Mantoiu, Marius ;
Richard, Serge .
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2010, 46 (04) :755-788