Topological action of a discrete semi-group

Document Type : Research Articles

Authors

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

θ

of S on a locally compact space

X

. Additionally, there is an action α of

S

on the

C^{*}

-algebra

C 0 (X)

, which is introduced in relation to

θ

. We explore the topological independence of

θ

and the impact of

θ

on α. Finally, we discuss the concept of a semi-partial dynamical system

(C 0 (X), S, α)

and examine some of its properties.

Keywords

Main Subjects