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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 091, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.091 (Mi sigma768) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Covariant Fields of $C^*$-Algebras under Rieffel Deformation

Fabian Belmontea, Marius Măntoiub

a 728, building A, SISSA-ISAS, Via Bonomea 265, 34136 Trieste, Italy
b Departamento de Matemáticas, Universidad de Chile, Las Palmeras 3425, Casilla 653, Santiago, Chile
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DOI: https://doi.org/10.3842/SIGMA.2012.091
Abstract: 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.
Received: August 26, 2012; in final form November 22, 2012; Published online November 28, 2012
Bibliographic databases:
Document Type: Article
MSC: 35S05; 81Q10; 46L55; 47C15
Language: English
Citation: Fabian Belmonte, Marius Măntoiu, “Covariant Fields of $C^*$-Algebras under Rieffel Deformation”, SIGMA, 8 (2012), 091, 12 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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