Markov Operators and $C^{\ast }$-Algebras

Marius Ionescu, Paul S. Muhly, Victor Vega

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 $C^{\ast }$-algebra to $P$ in a…