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A negative answer to a question by Rieffel (2001)

by J-K Shim
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Flabby strict deformation quantizations and K-groups

by Hanfeng Li , 2003
"... Abstract. We construct examples of flabby strict deformation quantizations not preserving K-groups. This answers a question of Rieffel negatively. 1. ..."
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Abstract. We construct examples of flabby strict deformation quantizations not preserving K-groups. This answers a question of Rieffel negatively. 1.
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...strict deformation quantizations not preserving K-groups, and asked [8, Question 18]: Are the K-groups of the deformed C ∗ -algebras of any flabby strict deformation quantization all isomorphic? Shim =-=[9]-=- showed that above question has a native answer if one allows orbifolds. But it is not clear whether one can adapt the method there to get smooth examples. Rieffel also pointed out that in any strict ...

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