Producción Científica Profesorado

REALIZATION OF A SIMPLE HIGHER DIMENSIONAL NONCOMMUTATIVE TORUS AS A TRANSFORMATION GROUP C*-ALGEBRA



Itzá Ortiz, Benjamín Alfonso

2008

Itza-Ortiz, B. and Phillips, N. C., Realization of a simple higher-dimensional noncommutative torus as a transformation group C*-algebra, Bulletin of the London Mathematical Society, 40 (2008) 217226. Preprinted


Abstract


Let be a nondegenerate skew symmetric real d × d matrix, and let A be the corresponding simple higher dimensional noncommutative torus. Suppose that d is odd, or that d 4 and the entries of are not contained in a quadratic extension of Q. Then A 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.



Producto de Investigación UAEH




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