Topological entropy for partial actions of the group $\mathbb{Z}$

Abstract

In this paper we introduce the definition of entropy for a partial $\mathbb{Z}$-action. We show that the definition of partial entropy is an extension of the definition of topological entropy for a $\mathbb{Z}$-action. We also prove that the partial topological entropy is concentrated on the non-wandering set.

References in corpus (2)

• Partial actions and KMS states on relative graph $C^{\ast }$-algebras
• Envelope Algebras of Partial Actions as Groupoid C*-Algebras