Erratum to "The integer cohomology algebra of toric arrangements"

We correct two errors in the paper ``The integer cohomology algebra of toric arrangements'', Adv. Math., Vol. 313, pp. 746-802, 2017. The main error concerns Theorem 4.2.17. In that theorem's proof, Diagram (8) does not commute in general but only under some restrictive hypotheses on the arrangement A. This invalidates the description for the ring structure of H∗(M(A);Z) given in Theorems A and B. We show a workaround to provide a description of the cohomology ring H∗(M(A);Z) when A is a real complexified toric arrangement. The second error concerns Theorem 7.2.1. The claim does hold, but the proof is incorrect. We refer to a counterexample for the argument given in the proof and we provide references for a correct proof.