Realization of a Simple Higher Dimensional Noncommutative Torus as a Transformation Group C*-algebra
نویسندگان
چکیده
Let θ be a nondegenerate skew symmetric real d × d matrix, and let Aθ be the corresponding simple higher dimensional noncommutative torus. Suppose that d is odd, or that d ≥ 4 and the entries of θ are not contained in a quadratic extension of Q. Then Aθ is isomorphic to the transformation group C*-algebra obtained from a minimal homeomorphism of a compact connected one dimensional space locally homeomorphic to the product of the interval and the Cantor set. The proof uses classification theory of C*-algebras.
منابع مشابه
Every Simple Higher Dimensional Noncommutative Torus Is an at Algebra
We prove that every simple higher dimensional noncommutative torus is an AT algebra.
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