Let $X$ be a non vanishing vector field on a compact manifold $M$ so we have a one dimensional foliation $F$ of $M$ with orbits of $X$. This foliation defines a $C^{*}$ algebra $C^{*}(F)$. On the other hand the flow of $X$ define an action of $\mathbb{R}$ on $C(M)$. So we have the $C^{*}$ algebra $C(M)\rtimes \mathbb{R}$. Are there some relations between these two $C^{*}$ algebras?