Covariant Fields of C*-Algebras under Rieffel Deformation

被引：2
作者：
Belmonte, Fabian [1 ]
Mantoiu, Marius [2 ]
机构：
[1] SISSA ISAS, I-34136 Trieste, Italy
[2] Univ Chile, Dept Matemat, Santiago, Chile
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2012年 / 8卷
关键词：
pseudodifferential operator; Rieffel deformation; C*-algebra; continuous field; noncommutative dynamical system; BUNDLES;
D O I：
10.3842/SIGMA.2012.091
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that Rieffel's deformations ends covariant C(T)-algebras into 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.
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页数：12
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