Strong Morita equivalence of higher-dimensional noncommutative tori

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dc.creatorLi, Hanfeng
dc.date2003-03-11
dc.date2004-01-20
dc.date.accessioned2026-07-07T04:55:55Z
dc.date.available2026-07-07T04:55:55Z
dc.descriptionWe show that matrices in the same orbit of the SO(n, n|Z) action on the space of n\times n skew-symmetric matrices give strong Morita equivalent noncommutative tori, both at the C*-algebra level and at the smooth algebra level. This proves a conjecture of Rieffel and Schwarz.
dc.description12 pages, minor improvements. To appear in J. Reine Angew. Math
dc.identifierhttps://arxiv.org/abs/math/0303123
dc.identifierhttp://arxiv.org/abs/math/0303123
dc.identifierJ. Reine Angew. Math. 576 (2004), 167--180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66750
dc.subjectOperator Algebras
dc.subjectQuantum Algebra
dc.titleStrong Morita equivalence of higher-dimensional noncommutative tori
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