  We compute the stable homology of necklace Lie algebras associated with
quivers and give a construction of stable homology classes from certain
$A_\infty$-categories. Our construction is a generalization of the construction
of homology classes of moduli spaces of curves due to M. Kontsevich.
  In the second part of the paper we produce a Moyal-type quantization of the
symmetric algebra of a necklace Lie algebra. The resulting quantized algebra
has natural representations in the usual Moyal quantization of polynomial
algebras.
