Morita equivalence and duality
Published Web Locationhttps://arxiv.org/pdf/hep-th/9805034.pdf
It was shown by Connes, Douglas, Schwarz that one can compactify M(atrix) theory on noncommutative torus. We prove that compactifications on Morita equivalent tori are physically equivalent. This statement can be considered as a generalization of non-classical duality conjectured in  for two-dimensional tori.