$C*$-Algebras Associated with $F_{2^n }$ Unimodal Dynamical Systems

• Date: 2001
• Main Authors: Maistrenko, T. Yu., Popovich, S. V., Майстренко, Т. Ю., Попович, С. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4314
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider $C*$-algebras associated with simple unimodal one-dimensional ambiguous dynamical systems $(f,R)$ with certain special restrictions. For these algebras, we present a complete classification of irreducible representations in Hilbert spaces and describe the dual space. As an example, we...