Let $X$ be an affine toric variety defined over an algebraically closed field $k$ of characteristic zero. I am trying to use Bloch’s Riemann-Roch Theorem for quasi-projective algebraic schemes in his 1986 paper Algebraic cycles and higher K-theory $G_n(X)\otimes\mathbb{Q}\cong CH^*(X,n)\otimes\mathbb{Q}$ to compute $G_n(X)\otimes\mathbb{Q}$ for all non-negative integers $n$. Here $G_n(X)$ is the $n$-th algebraic $G$-theory group of $X$, which comes from the abelian category $M(X)$ of coherent sheaves on $X$. Are there known results on the higher chow groups of affine toric varieties?
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