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

• Datum: 2005
• Hauptverfasser: Samoilenko, Yu. S., Yushchenko, K. Yu., Самойленко, Ю. С., Ющенко, К. Ю.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3636
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 conditi...