Morita equivalence of multidimensional noncommutative tori

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dc.creatorRieffel, Marc
dc.creatorSchwarz, Albert
dc.date1998-03-13
dc.date1998-08-20
dc.date.accessioned2026-07-07T05:24:04Z
dc.date.available2026-07-07T05:24:04Z
dc.descriptionOne can describe an $n$-dimensional noncommutative torus by means of an antisymmetric $n\times n$-matrix $θ$. We construct an action of the group $SO(n,n|\bf Z)$ on the space of antisymmetric matrices and show that, generically, matrices belonging to the same orbit of this group give Morita equivalent tori. Some applications to physics are sketched.
dc.description13 pages. Minor comment corrected. (To appear in the International Journal of Mathematics.)
dc.identifierhttps://arxiv.org/abs/math/9803057
dc.identifierhttp://arxiv.org/abs/math/9803057
dc.identifierInt.J.Math. 10 (1999) 289-299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76695
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectOperator Algebras
dc.subject46L60; 46L85; 58B30
dc.titleMorita equivalence of multidimensional noncommutative tori
dc.typetext

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