Morita equivalence and duality |
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| Affiliation: | 1. LaBRI, Université de Bordeaux, 351 cours de la Libération, 33405, Talence, France;2. IRIF, Université Paris Diderot, Case 7014, 75205 Paris Cedex 13, France;1. School of Mathematical and Statistical Sciences, Arizona State University, 901 S. Palm Walk, Tempe, AZ 85287-1804, United States;2. Department of Mathematics and Computer Science, The University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark;1. Dep. de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain;2. Dep. of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium;1. Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul, 151-747, Republic of Korea;2. Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Republic of Korea |
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| Abstract: | It was shown by Connes, Douglas, Schwarz [hep-th/9711162] that one can compactify M(atrix) theory on a non-commutative torus To. We prove that compactifications on Morita equivalent tori are in some sense physically equivalent. This statement can be considered as a generalization of non-classical SL(2,)N duality conjectured by Connes, Douglas and Schwarz for compactifications on two-dimensional non-commutative tori. |
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