# American Institute of Mathematical Sciences

January  2011, 29(1): 91-107. doi: 10.3934/dcds.2011.29.91

## Morphisms of discrete dynamical systems

 1 University Constantin Brăncuşi of Tărgu-Jiu, Str. Geneva, Nr. 3, 210136 Tărgu-Jiu, Romania

Received  February 2010 Revised  June 2010 Published  September 2010

The purpose of this paper is to introduce a category whose objects are discrete dynamical systems $( X,P,H,\theta )$ in the sense of [6] and whose arrows will be defined starting from the notion of groupoid morphism given in [10]. We shall also construct a contravariant functor $( X,P,H,\theta ) \rightarrow$C* $( X,P,H,\theta )$ from the subcategory of discrete dynamical systems for which $PP^{-1}$ is amenable to the category of C* -algebras, where C* $( X,P,H,\theta )$ is the C* -algebra associated to the groupoid $G( X,P,H,\theta)$.
Citation: Mădălina Roxana Buneci. Morphisms of discrete dynamical systems. Discrete & Continuous Dynamical Systems, 2011, 29 (1) : 91-107. doi: 10.3934/dcds.2011.29.91
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