On torsion in homology of singular toric varieties

Let $X$ be a toric variety. Rationally Borel-Moore homology of $X$ is isomorphic to the homology of the Koszul complex $A^T_(X)\otimes \Lambda^\x M$,where$A^T_(X)$istheequivariantChowgroupand$M$ is the character group of $T$. Moreover, the same holds for coefficients which are the integers with certain primes inverted.