Markov Operators and $C^{*}$-Algebras

Details Markov Operators and $C^{*}$-Algebras Markov Operators and $C^{*}$-Algebras

2009-10-19

arxiv.org/abs/0910.3688v2

Mathematics

Operator Algebras

Added a few remarks in the second section and a few references. This version will be published in the Houston Journal of Mathe

Scientific paper

A Markov operator $P$ acting on $C(X)$, where $X$ is compact, gives rise to a
natural topological quiver. We use the theory of such quivers to attach a
$C^{*}$-algebra to $P$ in a fashion that reflects some of the probabilistic
properties of $P$.

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