Fourier invariant partially approximating subalgebras of the irrational rotation C*-algebra

• Autores: S. Walters
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 88, Nº 2, 2004, págs. 505-525
• Idioma: inglés
• DOI: 10.1112/s0024611503014503
• Texto completo no disponible (Saber más ...)
• Resumen

  • For a dense $G_\delta$-set of parameters, the irrational rotation algebra is shown to contain infinitely many C*-subalgebras satisfying the following properties. Each subalgebra is isomorphic to a direct sum of two matrix algebras of the same (perfect square) dimension; the Fourier transform maps each summand onto the other; the corresponding unit projection is approximately central; the compressions of the canonical generators of the irrational rotation algebra are approximately contained in the subalgebra.