The K-theory ranks for crossed products of C∗-algebras bythe group of integers

• Autores: Takahiro Sudo
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 21, Nº. 3, 2019, págs. 1-8
• Idioma: inglés
• DOI: 10.4067/S0719-06462019000300001
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen Estudiamos los rangos de K-teoría para productos cruzados de C_-álgebras por el grupo de los enteros. Como aplicación, obtenemos ciertas estimaciones para los rangos de K- teoría de las álgebras de grupos libres de torsión, finitamente generados, nilpotentes o solubles, escritos como productos semidirectos sucesivos.

  • English

    Abstract We study the K-theory ranks for crossed products of C_-algebras by the group of integers. As an application, we obtain certain estimates for the K-theory ranks of the group C_-algebras of torsion free, finitely generated, nilpotent or solvable discrete groups, written as successive semi-direct products.

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