  In this paper we prove that Loday--Quillen--Tsygan Theorem generalizes to the
case of coalgebras. Specifically, we show that the Chevalley--Eilenberg--Lie
homology of the Lie coalgebra of infinite matrices over a coassociative
coalgebra $C$ is generated by the cyclic homology of the underlying coalgebra
$C$ as an exterior algebra.
