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Covariant Fields of $C^*$-Algebras under Rieffel Deformation
Symmetry, integrability and geometry: methods and applications, Tome 8 (2012) Cet article a éte moissonné depuis la source Math-Net.Ru

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We show that Rieffel's deformation sends covariant $\mathcal{C}(T)$-algebras into $\mathcal{C}(T)$-algebras. We also treat the lower semi-continuity issue, proving that Rieffel's deformation transforms covariant continuous fields of $C^*$-algebras into continuous fields of $C^*$-algebras. Some examples are indicated, including certain quantum groups.
Keywords: pseudodifferential operator; Rieffel deformation; $C^*$-algebra; continuous field; noncommutative dynamical system. 
@article{SIGMA_2012_8_a90,
     author = {Fabian Belmonte and Marius M\u{a}ntoiu},
     title = {Covariant {Fields} of $C^*${-Algebras} under {Rieffel} {Deformation}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2012},
     volume = {8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a90/}
}
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Fabian Belmonte; Marius Măntoiu. Covariant Fields of $C^*$-Algebras under Rieffel Deformation. Symmetry, integrability and geometry: methods and applications, Tome 8 (2012). http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a90/

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