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

A. Baravirea, Fagner B. Rodrigues, Ruy Exel

Published 2015-09-20Version 1

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.