Morphisms of discrete dynamical systems

Mădălina Roxana Buneci

doi:10.3934/dcds.2011.29.91

Article Contents

2011, Volume 29, Issue 1: 91-107. Doi: 10.3934/dcds.2011.29.91

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Morphisms of discrete dynamical systems

Mădălina Roxana Buneci^1,

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

Received: January 31, 2010

Revised: May 31, 2010

Published: December 2010

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Abstract

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 $G( X,P,H,\theta)$.

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Mathematics Subject Classification: Primary: 22A22, 43A22; Secondary: 46M15, 46L99, 37B99.

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References

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