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Deformation of algebras associated with ...
Yamashita, Makoto...
Deformation of algebras associated with group cocycles by Yamashita, Makoto ( Author )
Australian National University
02-08-2023
We study deformation of algebras with coaction symmetry of reduced algebra of discrete groups, where deformation parameter is given continuous family of group 2-cocycles. When the group satisfies the Baum-Connes conjecture with coefficients, we obtain isomorphism of K-groups of the deformed algebras. This extends both the $\theta$-deformation of Rieffel on $T^n$-actions, and a recent result of Echterhoff, L\"uck, Phillips, and Walters on the K-groups on the twisted group algebras.
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Article
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30.00 KB
English
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MYR 0.01
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http://arxiv.org/abs/1107.2512
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