Strong Morita Equivalence of Higher-dimensional Noncommutative Tori

Abstract

Let n ≥ 2 and Tn be the space of n × n real skew-symmetric matrices. For each θ ∈ Tn the corresponding n-dimensional noncommutative torus Aθ is defined as the universal C-algebra generated by unitaries U1, · · · , Un satisfying the relation UkUj = e(θkj)UjUk, where e(t) = e. Noncommutative tori are one of the canonical examples in noncommutative… (More)

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Cite this paper

@inproceedings{Li2003StrongME, title={Strong Morita Equivalence of Higher-dimensional Noncommutative Tori}, author={Hanfeng Li}, year={2003} }