| LENTICULAR NONCOMMUTATIVE TORI |
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| 引用本文： | Chun-Gil Park. LENTICULAR NONCOMMUTATIVE TORI[J]. 数学物理学报(B辑英文版), 2003, 23(1): 83-94. DOI: 10.1016/S0252-9602(17)30149-2 |
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| 作者姓名： | Chun-Gil Park |
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| 作者单位： | Department of |
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| 基金项目： | The author was supported by grant No. 1999-2-102-001-3 from the interdis- ciplinary research program year of the KOSEF. |
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| 摘 要： | All C*-algebras of sections of locally trivial C* -algebra bundles over ∏i=1sLki(ni) with fibres Aw Mc(C) are constructed, under the assumption that every completely irrational noncommutative torus Aw is realized as an inductive limit of circle algebras, where Lki (ni) are lens spaces. Let Lcd be a cd-homogeneous C*-algebra over whose cd-homogeneous C*-subalgebra restricted to the subspace Tr × T2 is realized as C(Tr) A1/d Mc(C), and of which no non-trivial matrix algebra can be factored out.The lenticular noncommutative torus Lpcd is defined by twisting in by a totally skew multiplier p on Tr+2 × Zm-2. It is shown that is isomorphic to if and only if the set of prime factors of cd is a subset of the set of prime factors of p, and that Lpcd is not stablyisomorphic to if the cd-homogeneous C*-subalgebra of Lpcd restricted to some subspace LkiLki (ni) is realized as the crossed product by the obvious non-trivial action of Zki on a cd/ki-homogeneous C*-algebra over S2ni+1 for ki an integer greater than
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| 收稿时间： | 2000-12-15 |
LENTICULAR NONCOMMUTATIVE TORI |
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| Chun-Gil Park. LENTICULAR NONCOMMUTATIVE TORI[J]. Acta Mathematica Scientia, 2003, 23(1): 83-94. DOI: 10.1016/S0252-9602(17)30149-2 |
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| Authors: | Chun-Gil Park |
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| Affiliation: | 1. High Field MR Centre, Department of Biomedical Imaging and Image-guided Therapy, Medical University of Vienna, Vienna, Austria;2. Karl Landsteiner Institute for Clinical Molecular MR in Musculoskeletal Imaging, Vienna, Austria;3. Department of Neurosurgery, Medical University of Vienna, Vienna, Austria;4. Department of Neurology, Medical University of Graz, Graz, Austria;5. School of Information Technology and Electrical Engineering, Faculty of Engineering, Architecture and Information Technology, The University of Queensland, Brisbane, Australia;6. Centre for Advanced Imaging, The University of Queensland, Brisbane, Australia |
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| Abstract: | |
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| Keywords: | Lens space homogeneous C*-algebra C*-algebra bundle twisted group C*-algebra noncommutative torus K-theory UHF-algebra Cuntz algebra |
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