1
Department of mathematics, College of sciences, Yasouj University, Yasouj, Iran, 75918
2
Yasouj University
10.22080/cjms.2024.27550.1706
Abstract
Given a discrete semi-group $S$, we define a topological action $\theta$ of S on a locally compact space $X$. Additionally, there is an action α of $S$ on the $C^∗$-algebra $C0(X)$, which is introduced in relation to $θ$. We explore the topological independence of $\theta$ and the impact of $\theta$ on α. Finally, we discuss the concept of a semi-partial dynamical system $(C0(X), S, \alpha)$ and examine some of its properties.
Heydari, M., & Rezaei, H. (2024). Topological action of a discrete semi-group. Caspian Journal of Mathematical Sciences, 13(2), 311-318. doi: 10.22080/cjms.2024.27550.1706
MLA
Mohammad Heydari; Hamid Rezaei. "Topological action of a discrete semi-group", Caspian Journal of Mathematical Sciences, 13, 2, 2024, 311-318. doi: 10.22080/cjms.2024.27550.1706
HARVARD
Heydari, M., Rezaei, H. (2024). 'Topological action of a discrete semi-group', Caspian Journal of Mathematical Sciences, 13(2), pp. 311-318. doi: 10.22080/cjms.2024.27550.1706
VANCOUVER
Heydari, M., Rezaei, H. Topological action of a discrete semi-group. Caspian Journal of Mathematical Sciences, 2024; 13(2): 311-318. doi: 10.22080/cjms.2024.27550.1706
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