| GENERALIZED SIMPLE NONCOMMUTATIVE TORI |
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| 作者姓名： | C. G. PARK |
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| 作者单位： | C. G. PARKDepartment of Mathematics，Chungnam National Uinversity，Taejon 305-764，South Korea. |
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| 基金项目： | Project supported by Grant No.1999-2-102-001-3 from the Interdisciplinary Research Program Year of the KOSEF. |
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| 摘 要： | The generalized noncommutative torus Tkp of rank n was defined in 4] by the crossed product Am/k ×a3 Z ×a4 … ×an Z, where the actions ai of Z on the fibre Mk(C) of a rational rotation algebra Am/k are trivial, and C*(kZ × kZ) ×a3 Z ×a4 ... ×an Z is a completely irrational noncommutative torus Ap of rank n. It is shown in this paper that Tkp is strongly Morita equivalent to Ap, and that Tkp (?) Mp∞ is isomorphic to Ap (?) Mk(C) (?) Mp∞ if and only if the set of prime factors of k is a subset of the set of prime factors of p.
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| 关 键 词： | 非可交换环面 纤维 旋转代数 Morita等价 Abel群 C^＊代数 张量积 UHF代数 Cuntz代数 等价双模 |
| 收稿时间： | 2000/4/17 0:00:00 |
| 修稿时间： | 8/1/2009 12:00:00 AM |
GENERALIZED SIMPLE NONCOMMUTATIVE TORI |
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| C. G. PARK.GENERALIZED SIMPLE NONCOMMUTATIVE TORI[J].Chinese Annals of Mathematics,Series B,2002,23(4):539-544. |
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| Authors: | C G PARK |
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| Institution: | Department of Mathematics, Chungnam National Uinversity, Taejon 305-764, South Korea |
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| Abstract: | The generalized noncommutative torus Tkp of rank n was defined in 4] by the crossed product noncommutative torus Ap of rank n. It is shown in this paper that Tkp is strongly Morita equivalent to Ap, and that Tkp Mp∞ is isomorphic to Ap Mk(C) Mp∞ if and only if the set of prime factors of k is a subset of the set of prime factors of p. |
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| Keywords: | Noncommutative torus Equivalence bimodule UHF-algebra Cuntz algebra Crossed product |
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