A negative answer to a Rieffel’s question on the behavior of K-groups under strict deformation quantization |
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| Authors: | Jae-Kwan Shim |
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| Institution: | Department of Industrial Applied Math, Kyungpook National University, Taegu, South Korea |
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| Abstract: | In this paper, we address one of the questions raised by Rieffel in his collection of questions on deformation quantization. The question is whether the K-theory groups remain the same under flabby strict deformation quantizations. By “deforming” the question slightly, we produce a negative answer to the question. |
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| Keywords: | Flabby deformation quantization K-theory Non-commutative tori |
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