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We show that for a class of operator algebras satisfying a natural conditionthe $C^*$-envelope of the universal free product of operator algebras $A_i$ isgiven by the free product of the $C^*$-envelopes of the $A_i$. We apply thistheorem to, in special cases, the $C^*$-envelope of the semicrossed productsfor multivariable dynamics in terms of the single variable semicrossed productsof Peters.

$C^*$-envelopes of universal free products and semicrossed products for multivariable dynamics