Strong Morita Equivalence of Higher-dimensional Noncommutative Tori
نویسنده
چکیده
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 differential geometry [12, 2]. One may also consider the smooth version A∞θ of a noncommutative torus, which is the algebra of formal series
منابع مشابه
Strong Morita Equivalence of Higher-dimensional Noncommutative Tori. Ii
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