Ayuda
Ir al contenido

Dialnet


Minimal dynamical systems on the product of the Cantor set and the circle II

    1. [1] East China Normal University

      East China Normal University

      China

    2. [2] Chiba University

      Chiba University

      Chūō-ku, Japón

  • Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 12, Nº. 2, 2006, págs. 199-239
  • Idioma: inglés
  • Enlaces
  • Resumen
    • Let X be the Cantor set and ϕ be a minimal homeomorphism on X ×T. We show that the crossed product C ∗ -algebra C ∗ (X ×T, ϕ) is a simple AT-algebra provided that the associated cocycle takes its values in rotations on T. Given two minimal systems (X ×T, ϕ) and (Y ×T, ψ) such that ϕ and ψ arise from cocycles with values in isometric homeomorphisms on T, we show that two systems are approximately K-conjugate when they have the same K-theoretical information.


Fundación Dialnet

Dialnet Plus

  • Más información sobre Dialnet Plus

Opciones de compartir

Opciones de entorno