On the Group $C^{*}$-Algebras of a Semidirect Product of Commutative and Finite Groups

  • Yu. S. Samoilenko Iн-т математики НАН України, Київ
  • K. Yu. Yushchenko

Abstract

By using representations of general position and their properties, we give the description of group $C^{*}$-algebras for semidirect products $\mathbb{Z}^d \times G_f$, where $G_f$ is a finite group, in terms of algebras of continuous matrix-functions defined on some compact set with boundary conditions. We present examples of the $C^{*}$-algebras of affine Coxeter groups.

Published
25.05.2005
How to Cite
SamoilenkoY. S., and YushchenkoK. Y. “On the Group $C^{*}$-Algebras of a Semidirect Product of Commutative and Finite Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 5, May 2005, pp. 697–705, https://umj.imath.kiev.ua/index.php/umj/article/view/3636.
Section
Research articles