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




Artículos relacionados

CONTINUOUS AND DISCRETE FLOWS ON OPERATOR ALGEBRAS

Matematicas en la distribucion espacial de poblaciones

BlochFloquet waves and localisation within a heterogeneous waveguide with long cracks

Multichannel Detrended Fluctuation Analysis Reveals Synchronized Patterns of Spontaneous Spinal Acti...

THE C*-ALGEBRAS ASSOCIATED TO TIME-t AUTOMORPHISMS OF MAPPING TORI

Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle

PROPAGATION OF ELASTIC WAVES ALONG INTERFACES IN LAYERED BEAMS

Slow decay of end effects in layered structures with an imperfect interface

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

Propagation of Elastic Waves along Interfaces in Layered Beams