Markov Operators and $C^{*}$-Algebras
Operator Algebras
2010-04-20 v2 Dynamical Systems
Functional Analysis
Abstract
A Markov operator acting on , where is compact, gives rise to a natural topological quiver. We use the theory of such quivers to attach a -algebra to in a fashion that reflects some of the probabilistic properties of .
Keywords
Cite
@article{arxiv.0910.3688,
title = {Markov Operators and $C^{*}$-Algebras},
author = {Marius Ionescu and Paul S. Muhly and Victor Vega},
journal= {arXiv preprint arXiv:0910.3688},
year = {2010}
}
Comments
Added a few remarks in the second section and a few references. This version will be published in the Houston Journal of Mathematics.